Remark on the global existence and large time asymptotics of solutions for the quadratic NLS

DOI10.1016/j.na.2011.07.016zbMath1229.35262OpenAlexW2046724078MaRDI QIDQ642557

Nakao Hayashi, Pavel I. Naumkin

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.016

zbMATH Keywords

global existencenonlinear Schrödinger equationsquadratic nonlinearities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (3)

On the new critical exponent for the nonlinear Schrödinger equations ⋮ Some non-existence results for the semilinear Schrödinger equation without gauge invariance ⋮ A blow-up problem for a nonlinear heat equation in the complex plane of time

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