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The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations

As of 12 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2606.09280.

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2606.09280 v1

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measured 61 of 61 reference resolution

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measured 61 of 61 standing notices

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61 of 61 outbound references displayed

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Outbound references

Observation 07ca8667-300c-4ff7-bfe5-3de954d1f390 · outbound

This paper cites Local energy decay for several evolution equations on asymptotically Euclidean manifolds.Ann.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Local energy decay for several evolution equations on asymptotically Euclidean manifolds.Ann

Reference 1

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Observation 4a69e52d-ee9f-4996-82e2-d6bde865d42d · outbound

This paper cites Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds.Duke Math.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds.Duke Math

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Observation b0831c48-5323-4309-a8c2-3239d53ca85d · outbound

This paper cites Strichartz estimates for long range perturbations.Amer.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Strichartz estimates for long range perturbations.Amer

Reference 3

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Observation e55d34dd-52f4-47e7-a21d-bf519c00548a · outbound

This paper cites ´Equations aux D´ eriv´ ees Partielles.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations ´Equations aux D´ eriv´ ees Partielles

Reference 4

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Observation 0a1eac6c-00ed-4c0b-8e86-7cca83457cf4 · outbound

This paper cites Damping oscillatory integrals.Invent.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Damping oscillatory integrals.Invent

Reference 5

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:f9842e1dad50ca42d4cb3e34c2c4db8169f921579a4f0eed2c5bbf9636b9e4a0

Observation 0a20f419-e670-4417-8323-60d43c3b2856 · outbound

This paper cites Mathematics: Theory & Applications.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Mathematics: Theory & Applications

Reference 6

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Observation 4aa57941-a208-4235-b270-8b7c21df512a · outbound

This paper cites an unresolved cited work.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Unresolved cited work

Reference 7

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:cb36bcaab3d8855c5c8bde7c19af9014b54ac4f869285ff958f599e693e4c15c

Observation 517391ad-1766-4434-a659-d8e720b91936 · outbound

This paper cites Fontelos, and Ana Primo.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Fontelos, and Ana Primo

Reference 8

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:f4e096f9942ec12f2162cc53fde3c6ad4d2a01249118083344d052c604c5a0e9

Observation 8618054e-dd30-4746-816d-1aaa0507771b · outbound

This paper cites Propagation of singularities and Fredholm analysis for the time-dependent Schr\"odinger equation.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Propagation of singularities and Fredholm analysis for the time-dependent Schr\"odinger equation

Reference 9

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Observation 4a9aaf3a-2883-4736-94ae-0e49bc1c053e · outbound

This paper cites Ginibre and G.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Ginibre and G

Reference 10

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:155aac59b66545ce79f2328d91df8d6c6aefc7b66e511c62992f5c643a4a0f32

Observation 29a83c44-898c-4ea2-9346-19f7b79cd020 · outbound

This paper cites Dispersive equations on asymptotically conical manifolds: time decay in the low-frequency regime.Ann.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Dispersive equations on asymptotically conical manifolds: time decay in the low-frequency regime.Ann

Reference 11

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:c9fb0cedf9f3ca588aeb01d7369b8ee24585d7e378c39bed187564bc6eb201f9

Observation cddac9a4-3f19-498b-bd5a-9d4922dfc3db · outbound

This paper cites Resolvent at low energy and Riesz transform for Schr¨ odinger operators on asymptotically conic manifolds.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Resolvent at low energy and Riesz transform for Schr¨ odinger operators on asymptotically conic manifolds

Reference 12

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:18537dfbfa366f9855eb17231ef49488cd7d87f5be6d2addf3decce66e81ac43

Observation ce7c4430-f4a3-42c0-b052-3040acf413d9 · outbound

This paper cites Uniform sobolev estimates for non-trapping metrics.Journal of the Institute of Mathematics of Jussieu, 13(3):599–632, 2014.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Uniform sobolev estimates for non-trapping metrics.Journal of the Institute of Mathematics of Jussieu, 13(3):599–632, 2014

Reference 13

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:f23034da629817c0035f260e10195efe53c2016c570149ab9f4711f90574380e

Observation 18fc35b5-d18a-49a0-8fc7-9a390e089778 · outbound

This paper cites Resolvent at low energy III: The spectral measure.Trans.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Resolvent at low energy III: The spectral measure.Trans

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:0da415874ec0cb86f68114132a2c5389df4cb28233c05220938ba05bd9726565

Observation 73f58361-3c99-498a-8104-73105c8f1d46 · outbound

This paper cites Restriction and spectral multiplier theorems on asymp- totically conic manifolds.Anal.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Restriction and spectral multiplier theorems on asymp- totically conic manifolds.Anal

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:d0aa69c6210b4ab0ce7809df36eb0d9c7db3dc6fa3202d5a80f2599b3a53703b

Observation c144f040-ad5c-463e-a4c0-582c4396fafd · outbound

This paper cites Guillemin.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Guillemin

Reference 16

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Observation 81c86f3e-1b4e-46e1-9699-13772f02ff86 · outbound

This paper cites Guillemin and G.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Guillemin and G

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:e505050ff94d673c56f6074d326e7a5a42029485500e5490daf8273753bed396

Observation 70542028-0dba-44e1-af9f-733b92386125 · outbound

This paper cites The scattering map for the Schrodinger operator on curved spaces.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations The scattering map for the Schrodinger operator on curved spaces

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Observation a43b2872-b93a-43b4-af11-1a9bc7c8fb82 · outbound

This paper cites A Strichartz inequality for the Schr¨ odinger equation on non- trapping asymptotically conic manifolds.Comm.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations A Strichartz inequality for the Schr¨ odinger equation on non- trapping asymptotically conic manifolds.Comm

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Observation 8a85dac9-989c-4602-8fda-5e09259a1620 · outbound

This paper cites Sharp Strichartz estimates on nontrapping asymptotically conic manifolds.Amer.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Sharp Strichartz estimates on nontrapping asymptotically conic manifolds.Amer

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:332c71fe8835a23d8c2aee588fac429dbcb8d6d1e8c4884137dc6e998a09258d

Observation de4a06c1-d4e3-4571-8075-d0fa79a25c2e · outbound

This paper cites The spectral projections and the resolvent for scattering metrics.Journal d’Analyse Mathematique, 79:241–298, 1999.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations The spectral projections and the resolvent for scattering metrics.Journal d’Analyse Mathematique, 79:241–298, 1999

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:9b38e6a56d3791de01f81dfc6156cd3617448d4925fd1e8a77a64fa0bc6c87ab

Observation c6e9268a-baa5-4c87-8825-910096cfb18e · outbound

This paper cites The resolvent for laplace-type operators on asymptotically conic spaces.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations The resolvent for laplace-type operators on asymptotically conic spaces

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Observation 80172069-16cd-4666-a014-96dcbc24e2fe · outbound

This paper cites The Schr¨ odinger propagator for scattering metrics.Annals of Mathematics, pages 487–523, 2005.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations The Schr¨ odinger propagator for scattering metrics.Annals of Mathematics, pages 487–523, 2005

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Observation b566edf1-6d8c-4600-9c19-6bb92d2c1104 · outbound

This paper cites The semiclassical resolvent and the propagator for non-trapping scattering metrics.Adv.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations The semiclassical resolvent and the propagator for non-trapping scattering metrics.Adv

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:1e7a77e8886573f1c5e7732adeb9a54a6d1231479aeea548447ed55decc43937

Observation 1bcd0f6d-fe39-4713-b492-99d360bc1593 · outbound

This paper cites Global-in-time strichartz estimates on nontrapping, asymptotically conic manifolds.Analysis & PDE, 9(1):151–192, 2016.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Global-in-time strichartz estimates on nontrapping, asymptotically conic manifolds.Analysis & PDE, 9(1):151–192, 2016

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Observation 58a6760e-dcec-4e75-9ebe-09b482f6c02a · outbound

This paper cites Fourier integral operators.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Fourier integral operators

Reference 26

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Observation 89119311-5f5a-4972-b3dd-331d33ba2532 · outbound

This paper cites Springer Science & Business Media, 2003.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Springer Science & Business Media, 2003

Reference 27

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Observation ee3e7929-7de4-4933-bfc8-6bf98017d858 · outbound

This paper cites Springer,.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Springer,

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:5b3e50e8728df348cc45b23b4ea3beb3a12c3876046e55b2a7319848f8afc24e

Observation de23c305-3155-46c5-b8eb-701421699cd3 · outbound

This paper cites Dispersion for the wave equation outside a cylinder inR 3.J.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Dispersion for the wave equation outside a cylinder inR 3.J

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:43202faf66b8e0cf7427939bcc8e1c5aa99137b7f78e10c2df76d9f1587ab8a1

Observation f979b722-5ef1-4bff-9181-7d42039417b8 · outbound

This paper cites Determining metrics from the scattering map of the time-dependent Schr\"odinger equation.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Determining metrics from the scattering map of the time-dependent Schr\"odinger equation

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Observation 557db0ea-4a21-4a7c-ac52-0ec760dff51d · outbound

This paper cites Pointwise dispersive estimates for Schrodinger and wave equations in a conical singular space.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Pointwise dispersive estimates for Schrodinger and wave equations in a conical singular space

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Observation 7a7d1304-f2b8-4d6f-8e35-6eb1fea92b52 · outbound

This paper cites Strichartz estimates for the Schr\"odinger equation in high dimensional critical electromagnetic fields.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Strichartz estimates for the Schr\"odinger equation in high dimensional critical electromagnetic fields

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Observation 66c035c5-4b82-46a5-9bda-7cbdc675e799 · outbound

This paper cites Decay and Strichartz estimates for critical electromagnetic wave equations on conic manifolds.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Decay and Strichartz estimates for critical electromagnetic wave equations on conic manifolds

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Observation 90458f08-7d00-4bac-8988-846e9d8c6461 · outbound

This paper cites PhD thesis, Massachusetts Institute of Technology, 1994.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations PhD thesis, Massachusetts Institute of Technology, 1994

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Observation 951149bc-5d87-47ec-902c-72f0ae2be784 · outbound

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The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Unresolved cited work

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Observation 3d4bd4b5-f220-497c-846c-024cd23666ae · outbound

This paper cites Endpoint Strichartz estimates.Amer.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Endpoint Strichartz estimates.Amer

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source=pdf_text observed=2026-06-27T15:57:34.891601Z digest=sha256:03a3cbf7dac244636f4bec83094cd4a079e040e6c6841b78cda0a61d1c22a1eb

Observation 0fd04e10-5b55-4880-adc3-51163e1f49bb · outbound

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The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Dispersive estimates for principally normal pseudodifferential operators.Comm

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Observation 21687cab-368c-47d3-94f9-5c4fd5d1db25 · outbound

This paper cites Damping oscillatory Integrals of convex analytic functions.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Damping oscillatory Integrals of convex analytic functions

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Observation 3d1a876d-b378-46cd-b7cc-7b1d52a934d3 · outbound

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Reference 39

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Observation 686727a7-1ea4-4812-bd10-18f4d6f372cf · outbound

This paper cites Scattering metrics and geodesic flow at infinity.Inventiones Mathematicae, 124(1):389–436, 1996.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Scattering metrics and geodesic flow at infinity.Inventiones Mathematicae, 124(1):389–436, 1996

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Observation 9bebbd4d-914e-46a8-86a4-2e9b86701de8 · outbound

This paper cites Melrose.The Atiyah-Patodi-Singer index theorem, volume 4 ofResearch Notes in Mathematics.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Melrose.The Atiyah-Patodi-Singer index theorem, volume 4 ofResearch Notes in Mathematics

Reference 41

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Observation ff888998-889b-47dc-a69b-04a151b09bc6 · outbound

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Reference 42

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Observation 49bcc8b2-554e-402d-a091-4a1598da62d4 · outbound

This paper cites Melrose.Geometric scattering theory.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Melrose.Geometric scattering theory

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Observation b51666dd-8a0e-46bd-b6ba-083401a73d29 · outbound

This paper cites On some estimates for the wave equation inL p andH p.J.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations On some estimates for the wave equation inL p andH p.J

Reference 44

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Observation 21a13d6b-c868-4b35-9753-8e7121a0bfad · outbound

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Reference 45

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Observation 901b145a-18aa-4060-a801-d02fa07d7c25 · outbound

This paper cites Peral.L p estimates for the wave equation.J.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Peral.L p estimates for the wave equation.J

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Observation c054cd23-199f-4a8d-afbf-58c3a2e7dd65 · outbound

This paper cites Low frequency asymptotics and local energy decay for the Schr¨ odinger equation.J.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Low frequency asymptotics and local energy decay for the Schr¨ odinger equation.J

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Observation 11c525ac-7ae4-4a1a-b8c6-064c9ef5d9eb · outbound

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The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Unresolved cited work

Reference 48

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Observation 96e2e932-b3fd-4a3f-a9d2-5d318a4a6e41 · outbound

This paper cites Sogge, and Elias M.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Sogge, and Elias M

Reference 49

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Observation b0d59299-04cf-4178-941a-1abd98af44fd · outbound

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The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Unresolved cited work

Reference 50

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Observation b399d5e7-6a16-42bb-b82d-02c71de1d3f8 · outbound

This paper cites Sogge and Elias M.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Sogge and Elias M

Reference 51

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Observation 2b27af8d-1df8-45f6-a8f0-e2c1926ab058 · outbound

This paper cites Strichartz estimates for a Schr¨ odinger operator with nonsmooth coefficients.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Strichartz estimates for a Schr¨ odinger operator with nonsmooth coefficients

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Observation c3b7d711-3e9b-4d61-9c08-b9a4bad22709 · outbound

This paper cites Stein.Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, volume 43 of Princeton Mathematical Series.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Stein.Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, volume 43 of Princeton Mathematical Series

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Observation b0f09a7f-5a2a-4185-8866-0c457d233355 · outbound

This paper cites Dispersive estimates and optimality for Schr¨ odinger equations on product cones.Forum Math., 38(4):1043–1059, 2026.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Dispersive estimates and optimality for Schr¨ odinger equations on product cones.Forum Math., 38(4):1043–1059, 2026

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Observation aa052b71-457f-4473-9512-2df02adbe434 · outbound

This paper cites Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients

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Observation 1f8aea1f-0b6a-4e5d-813e-b4f579d0cc20 · outbound

This paper cites Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients

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Observation 5025b826-6860-47e9-b75d-ddd1e194c1a5 · outbound

This paper cites Parametrices and dispersive estimates for Schr¨ odinger operators with variable coefficients.Amer.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Parametrices and dispersive estimates for Schr¨ odinger operators with variable coefficients.Amer

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Observation e6543658-4bff-4c3f-a368-9ed44385b030 · outbound

This paper cites Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces.Pure Appl.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces.Pure Appl

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Observation 580d86d4-07f5-438e-a0f0-2ce52aae1d4b · outbound

This paper cites Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach.Comm.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach.Comm

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Observation 2bac78f2-cf63-42f2-a471-bb96978c941a · outbound

This paper cites Distribution of resonances for asymptotically Euclidean manifolds.Journal of Differential Geometry, 55(1):43–82, 2000.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Distribution of resonances for asymptotically Euclidean manifolds.Journal of Differential Geometry, 55(1):43–82, 2000

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Observation f64e0ed7-1016-44a7-8469-dcddd05742dc · outbound

This paper cites Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds.

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds

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