Global existence and asymptotic behavior of the Cauchy problem for fourth-order Schrödinger equations with combined power-type nonlinearities

DOI10.1016/J.JMAA.2012.03.028zbMath1248.35194OpenAlexW1975993536MaRDI QIDQ428369

Cuihua Guo

Publication date: 19 June 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.028

zbMATH Keywords

asymptotic behaviorCauchy problemglobal existencefourth-order Schrödinger equationcombined power-type nonlinearities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (2)

Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case ⋮ The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line

Cites Work

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