Propagation estimates for regularity in Schrödinger equations with general time-dependent localized potentials are established directly in H^2.
On the large time asymptotics of schr\" odinger type equations with general data.arXiv preprint arXiv:2203.00724,
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Constructs asymptotically self-similar global stable solutions with nonzero L² norm for some nonlinear Schrödinger equations, including two-bubble cases, and associates them with a scattering channel using the dilation operator.
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Propagation of Regularity for Schroedinger Equations with Time Dependent Potentials
Propagation estimates for regularity in Schrödinger equations with general time-dependent localized potentials are established directly in H^2.
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On the Existence of Self-Similar solutions for some Nonlinear Schr\"odinger equations
Constructs asymptotically self-similar global stable solutions with nonzero L² norm for some nonlinear Schrödinger equations, including two-bubble cases, and associates them with a scattering channel using the dilation operator.