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Global existence and asymptotic behavior of small solutions to nonlinear Schrödinger equations in 3D.

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Publication:976587
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zbMath1212.35451MaRDI QIDQ976587

Yuichiro Kawahara

Publication date: 15 June 2010

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

asymptotic behaviorglobal existencesmall solutions


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)


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Global solution for the \(3D\) quadratic Schrödinger equation of \(Q(u,\bar{u}\)) type ⋮ Space-time resonances ⋮ From the Gross-Pitaevskii equation to the Euler Korteweg system, existence of global strong solutions with small irrotational initial data ⋮ Global solutions for 2D quadratic Schrödinger equations ⋮ Remark on the global existence and large time asymptotics of solutions for the quadratic NLS ⋮ Global existence of small solutions for a quadratic nonlinear fourth-order Schrödinger equation in six space dimensions ⋮ Wave and inverse wave operators for the quadratic nonlinear Schrödinger equations in 3D ⋮ Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D ⋮ Lower bounds for order of decay or of growth in time for solutions to linear and nonlinear Schrödinger equations



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