Further regularity results for almost cubic nonlinear Schrödinger equation

DOI10.1016/j.na.2009.11.050zbMath1183.35249OpenAlexW2013780066MaRDI QIDQ847361

N. E. Zubov

Publication date: 12 February 2010

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.2009.11.050

zbMATH Keywords

Besov spacesBourgain spacescubic NLS\(H^s\) well-posedness

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (1)

Further scattering results for almost cubic nonlinear Schrödinger equation

Cites Work

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• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Focusing and defocusing cases of the purely elliptic generalized Davey-Stewartson system
• Global existence and nonexistence results for a generalized Davey–Stewartson system

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