On the Cauchy problem for the NLS equations in \(\mathbb R^{1+1}\)

DOI10.1016/j.amc.2011.02.077zbMath1219.35291OpenAlexW1964043653MaRDI QIDQ544075

Suxia Xia, Gui Xiang Xu

Publication date: 14 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.077

zbMATH Keywords

Besov spaceCauchy problemSchrödinger equationKato's smoothing effectLittlewood-Paley trichotomymaximal function estimate

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Variational methods applied to PDEs (35A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

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