Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations

DOI10.1007/s00030-016-0362-5zbMath1353.35264OpenAlexW2282101411MaRDI QIDQ286092

Gaku Hoshino, Tohru Ozawa

Publication date: 19 May 2016

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-016-0362-5

zbMATH Keywords

nonlinear Schrödinger equationglobal existenceanalytic smoothing effect

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Analytic smoothing effect for a system of Schrödinger equations with three wave interaction ⋮ Space-time Gevrey smoothing effect for the dissipative nonlinear Schrödinger equations ⋮ Space-time analytic smoothing effect for the nonlinear Schrödinger equations with nonlinearity of exponential type ⋮ Space-time analytic smoothing effect for global solutions to a system of nonlinear Schrödinger equations with large data ⋮ Space-time analytic smoothing effect for the cubic nonlinear Schrödinger equations without pseudo-conformal invariance

Cites Work

• Analytic smoothing effect for nonlinear Schrödinger equation in two space dimensions
• Analytic solutions to nonelliptic nonlinear Schrödinger equations
• Analytic finite energy solutions of the nonlinear Schrödinger equation
• Analytic smoothing effect for solutions to Schrödinger equations with nonlinearity of integral type
• Analytic smoothing effect for global solutions to nonlinear Schrödinger equations
• Analyticity and global existence of small solutions to some nonlinear Schrödinger equations
• Remarks on analytic smoothing effect for the Schrödinger equation
• Nonlinear evolution equations and analyticity. I
• Existence of solutions for Schrödinger evolution equations
• On the derivative nonlinear Schrödinger equation
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Gevrey regularizing effect for nonlinear Schrödinger equations
• Analyticity in time and smoothing effect of solutions to nonlinear Schrödinger equations
• Analytic smoothing effects for a class of dispersive equations
• Wave operators and analytic solutions for systems of nonlinear Klein- Gordon equations and of nonlinear Schrödinger equations
• Microlocal analytic smoothing effect for the Schrödinger equation
• Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity
• Analytic smoothing effect for a system of nonlinear Schrödinger equations
• Effect régularisant microlocal analytique pour l'équation de Schrödinger le cas des données oscillantes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item