A note on decay rates for Schrödinger’s equation

DOI10.1090/S0002-9939-09-10049-7zbMath1180.35439MaRDI QIDQ3402171

Jian Xie, Thierry Cazenave, Linzi Zhang

Publication date: 2 February 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviordecay rateSchrödinger's equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Stability of propagation features under time-asymptotic approximations for a class of dispersive equations ⋮ Lossless error estimates for the stationary phase method with applications to propagation features for the Schrödinger equation ⋮ A solution of the complex Ginzburg-Landau equation with a continuum of decay rates

Cites Work

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• Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
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• Inequalities in Fourier analysis
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Maximum decay rate for finite-energy solutions of nonlinear Schrödinger equations.
• Multiscale Asymptotic Behavior of the Schrödinger Equation
• Scattering Theory and Self-Similar Solutions for the Nonlinear Schrödinger Equation
• Spatial decay and time-asymptotic profiles for solutions of Schroedinger equations

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