Global existence of small analytic solutions to schrodinger equations with quadratic nonlinearity

DOI10.1080/03605309708821283zbMath0881.35106OpenAlexW1996278567MaRDI QIDQ4346991

Nakao Hayashi, Keiichi Kato

Publication date: 22 February 1998

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309708821283

zbMATH Keywords

nonlinear Schrödinger equationsquadratic nonlinearitysmall analytic solutions

Mathematics Subject Classification ID

Related Items (8)

Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations ⋮ Unnamed Item ⋮ On the radius of spatial analyticity for semilinear symmetric hyperbolic systems ⋮ Remark on the global existence and large time asymptotics of solutions for the quadratic NLS ⋮ Null structure in a system of quadratic derivative nonlinear Schrödinger equations ⋮ Quadratic derivative nonlinear Schrödinger equations in two space dimensions ⋮ Analytic well-posedness of periodic gKdV ⋮ A functional-analytic technique for the study of analytic solutions of PDEs

Cites Work

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• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Equations de Schrödinger non linéaires en dimension deux
• Infinite order sobolev spaces, analytic continuation and polynomial expansions
• Resonance and long time existence for the quadratic semilinear schrödinger equation
• Global, small amplitude solutions to nonlinear evolution equations
• Global extstence of small solutions to semiliner schrödinger equations

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