Spatial behavior for NLS and applications to scattering

DOI10.5802/SLSEDP.116zbMath1475.35311OpenAlexW2803594963MaRDI QIDQ2053934

Publication date: 30 November 2021

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/slsedp.116

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Cites Work

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On the global Cauchy problem for some nonlinear Schrödinger equations
Nonlinear scattering theory at low energy
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On a class of solutions to the generalized derivative Schrödinger equations
A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation
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Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
Logarithmic Time Decay for the Cubic Nonlinear Schrödinger Equations
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On a class of solutions to the generalized KdV type equation
NON-REGULARITY IN HÖLDER AND SOBOLEV SPACES OF SOLUTIONS TO THE SEMILINEAR HEAT AND SCHRÖDINGER EQUATIONS
Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities
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