Global existence of small solutions to semilinear Schrödinger equations with gauge invariance

DOI10.2977/prims/1195163717zbMath0847.35126OpenAlexW2068777769MaRDI QIDQ1913415

Hiroyuki Chihara

Publication date: 14 May 1996

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195163717

zbMATH Keywords

a priori estimatessemilinear Schrödinger equationsglobal solutions with small initial datalocal existence results

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (8)

Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations ⋮ Global existence of small analytic solutions to schrodinger equations with quadratic nonlinearity ⋮ Global existence of small solutions to nonlinear Schrödinger equations ⋮ Global existence of small classical solutions to nonlinear Schrödinger equations ⋮ Quadratic derivative nonlinear Schrödinger equations in two space dimensions ⋮ Global Well-Posedness and Scattering for Derivative Schrödinger Equation ⋮ The initial value problem for cubic semilinear Schrödinger equations ⋮ Global well-posedness and scattering for the derivative nonlinear Schrödinger equation with small rough data

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