Further scattering results for almost cubic nonlinear Schrödinger equation

DOI10.1016/j.aml.2010.08.028zbMath1204.35151OpenAlexW2091699411MaRDI QIDQ609965

Sumit K. Garg

Publication date: 1 December 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.08.028

zbMATH Keywords

scatteringDavey-Stewartson systemsnonlinear Schödinger equationpseudo-conformal transform

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum scattering theory (81U99)

Cites Work

• Further regularity results for almost cubic nonlinear Schrödinger equation
• Almost cubic nonlinear Schrödinger equation: existence, uniqueness and scattering
• On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
• Restriction theorems and maximal operators related to oscillatory integrals in \(\mathbf R^3\)
• Global well-posedness in Sobolev space implies global existence for weighted \(L^2\) initial data for \(L^2\)-critical NLS
• Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation
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