On the asymptotics for cubic nonlinear Schrödinger equations

DOI10.1080/02781070410001710353zbMath1064.35187OpenAlexW2252501204MaRDI QIDQ4654541

Pavel I. Naumkin, Nakao Hayashi

Publication date: 8 March 2005

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070410001710353

zbMATH Keywords

Fourier transformCauchy problemweighted Sobolev spaceSchrödinger evolution groupglobal existence of small solutionslogarithmic time decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension ⋮ Long Range Scattering for Nonlinear Schrödinger Equations with Critical Homogeneous Nonlinearity ⋮ Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials ⋮ Long-range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions ⋮ Almost global existence for cubic nonlinear Schrödinger equations in one space dimension ⋮ Asymptotics of odd solutions for cubic nonlinear Schrödinger equations ⋮ On the derivative nonlinear Schrödinger equation with weakly dissipative structure

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