Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:35:42.895650Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2501.01670.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:35:42.895650Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:04:40.499651Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T15:04:40.858646Z
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 470d6652-98d4-4cce-b4f9-304dd806162c · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dc57f90e-a4d3-4af3-9eb6-0eb1f1c0751d · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping D’Abbicco, The threshold of effective damping for semilinear wave equa tions, Math
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 76484156-2627-4dea-8602-113049ea477f · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in Euclidean setting and in the Heisenberg space
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 01abdcde-f4bd-449b-b4ac-8ec1901dda75 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping D’Abbicco, S
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2d21f9d3-2bde-48e5-bf62-915a0d72edd9 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping D’Abbicco, S
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b534f30a-ee5a-44c6-87c1-cadb77264e5c · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping D’Abbicco, S
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d9a67bbd-475d-4413-9296-89047088167e · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7cc506e6-f966-42a6-9c3e-8b9cc9f4591b · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Fujita, On the blowing up of solutions of the Cauchy Problem for ut = ∆ u + u1+α, J
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3feef4c6-f0c2-48e6-8db7-e36ba0bf29b1 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Fujiwara, M
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7200aef3-f883-44d3-97b8-6fe855afbf6d · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Galstian, Global existence for the one-dimensional second order semi linear hyperbolic equations, J
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b7027e2f-5b5f-4853-91ab-97a6c895c37c · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Georgiev, H
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1470eeca-9d3c-457d-a905-246b0ca608bf · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 54cf761a-dc7d-4e0e-a078-12006706be3a · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ffa340ef-2f6c-4571-b5b5-683559125e94 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 57a9fdcf-6b8f-45f4-8ed3-28f17b5a3c6d · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ad50298e-8bcf-411b-b46a-0c44c62b0129 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cf9a19f9-696b-4b02-8259-e9817ed56006 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6e31f824-a0df-4dfd-846a-00a2459ab2c3 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d0c41330-b7d5-41fc-b572-f7b041db752c · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c6c5c253-2db1-400c-b691-fe474d8099e8 · outbound
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2b4d25ed-93dc-4c67-9cab-eeb8ab6423fa · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping John, Blow-up of solutions of nonlinear wave equations in three sp ace dimensions , Manuscripta Math
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4ef503d7-71d4-4160-819b-d7fe75dd86b1 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c950e718-370d-43b3-a3dc-557f4707c28d · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a0c5de84-a9f5-41e1-8dc3-4b5e7150e884 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c83e338e-1719-4c86-ab3f-5c1048c81820 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b8fd3e12-7961-4147-bf46-e9b00a678e39 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0feed33a-3af5-4664-b2c2-e6725eb9cdca · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9f3c61d1-d920-406f-92b0-621228a99b64 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a58c26dd-7661-4f67-b3ca-a2b921164b3b · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 14f47df2-fa38-43db-aff9-b199ba7018ad · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9807a443-4337-4866-959b-569cd30f1a45 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Lindblad, C
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ab61120c-0e63-4ceb-b2c6-e1c285e5f1ca · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 35359f63-0ee9-4e5c-a66e-5200c4e3247f · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Nishihara, Asymptotic behavior of solutions to the semilinear wave equ ation with time- dependent damping, Tokyo J
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7170159d-e94e-460d-a775-d283d31750c0 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Palmieri, A global existence result for a semilinear scale-invariant wave equation in even dimension, Math
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4555fa25-a618-4162-b2b1-6187e10437ae · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Palmieri, M
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0d2db8c7-ed39-48c6-8cd9-aea8dc62b51a · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f45e9d99-67a7-477d-a879-e7ce195238d8 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3424f9d1-5d34-45e3-ac9a-e19730a8c85a · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f4e1821b-1c88-4bdb-bfdd-a0725866bdb6 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d858ab22-b7a3-42e2-9b77-b057db6253e0 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Schaeffer, The equation □ u = |u|p for the critical value of p, Proc
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7cab96ef-1341-407d-9d1e-5f1bfeaeb943 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Sideris, Nonexistence of global solutions to semilinear wave equations in high dimensions, J
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5fd6fdc1-c14e-4848-8538-1c6568701301 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3d080342-a6e1-4dfc-8dd1-4ee2791d337f · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Strauss, Nonlinear scattering theory at low energy , J
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f2b6e3fe-0063-4701-acbc-0019bddb08ad · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Todorova, B
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 563f1962-08d5-4ef9-a01e-6aaf12f8c789 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping A note on the blowup of scale invariant damping wave equation with sub-Strauss exponent
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f50a1a5a-6cba-4f5b-81d5-c0143de07b04 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4a546dc0-6f3a-4a46-b607-01550f00650e · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Wakasugi, Critical exponent for the semilinear wave equation with sca le invariant damp- ing, in: F ourier Analysis, Birkh¨ auser, Cham, 2014, pp
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a1bee97b-b8b3-4013-b366-e9efb1483dfd · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Wakasugi, On the diffusive structure for the damped wave equation with variable coeffi- cients (Doctoral dissertation), Doctoral thesis, Osaka Universi ty, 2014
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9cf800c9-6bac-498b-8bca-7b01f6d818f7 · outbound
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d3a62254-a847-4811-84e5-f397800b601f · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Wang, Recent progress on the Strauss conjecture and related probl ems, Mathematica 48 (2018), no
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b407860e-0160-4ede-a7dd-43e9dbb757c5 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Wirth, Wave equations with time-dependent dissipation
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e0913b39-c618-4d31-8f2a-5d5384a20b43 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Wirth, Wave equations with time-dependent dissipation
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 21169f5e-3cd3-4574-a308-76065cf88fbb · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Y agdjian, Global existence for the n-dimensional semilinear Tricomi -type equations , Comm
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 90e84c0b-9298-400b-aae9-56d0b13053f7 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Y agdjian, The self-similar solutions of the Tricomi-type equations , Z
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c72e0352-d8a5-4cd7-880b-2cce10814d2e · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Y ordanov, Q
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9b014c8d-059f-464d-9866-23cccb34aeb0 · outbound
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 143577ee-fc06-4f4b-9361-3fef353190cb · inbound
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.