Global existence of small analytic solutions to nonlinear Schrödinger equations
From MaRDI portal
Publication:2640776
DOI10.1215/S0012-7094-90-06029-6zbMath0721.35026MaRDI QIDQ2640776
Publication date: 1990
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (21)
Analytic finite energy solutions of the nonlinear Schrödinger equation ⋮ Local well-posedness for a quasilinear Schroedinger equation with degenerate dispersion ⋮ Analytic smoothing effect for global solutions to nonlinear Schrödinger equations ⋮ Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip ⋮ Unnamed Item ⋮ The Derivative Nonlinear Schrödinger Equation in Analytic Classes ⋮ One approach to some general integral transforms and its applications ⋮ Space-time analyticity of weak solutions to linear parabolic systems with variable coefficients ⋮ On the radius of spatial analyticity for semilinear symmetric hyperbolic systems ⋮ Analytic smoothing effect for nonlinear Schrödinger equation in two space dimensions ⋮ Global analytic solutions for the nonlinear Schrödinger equation ⋮ On the derivative nonlinear Schrödinger equation ⋮ Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity ⋮ Large time behavior of small solutions to subcritical derivative nonlinear Schrödinger equations ⋮ Remark on the persistence of spatial analyticity for cubic nonlinear Schrödinger equation on the circle ⋮ On the radius of spatial analyticity for solutions of the Dirac-Klein-Gordon Equations in two space dimensions ⋮ SUBCRITICAL QUADRATIC NONLINEAR SCHRÖDINGER EQUATION ⋮ Asymptotic lower bound for the radius of spatial analyticity to solutions of KdV equation ⋮ Existence and uniqueness of solution for a generalized nonlinear derivative Schrödinger equation ⋮ Global existence of small solutions to quadratic nonlinear schrödinger equations ⋮ On propagation of regularities and evolution of radius of analyticity in the solution of the fifth-order KdV-BBM model
Cites Work
- Unnamed Item
- Analyticity and global existence of small solutions to some nonlinear Schrödinger equations
- Global existence of small solutions to nonlinear evolution equations
- Nonlinear evolution equations and analyticity. I
- Long-time behavior of solutions to nonlinear evolution equations
- Analyticity of solutions of the Korteweg-de Vries equation
- Wave operators and analytic solutions for systems of nonlinear Klein- Gordon equations and of nonlinear Schrödinger equations
- Global, small amplitude solutions to nonlinear evolution equations
This page was built for publication: Global existence of small analytic solutions to nonlinear Schrödinger equations
