2008 Remarks on NLS with higher order anisotropic dispersion
Olivier Bouchel
Adv. Differential Equations 13(1-2): 169-198 (2008). DOI: 10.57262/ade/1355867363

Abstract

We show that the introduction of third and fourth order anisotropic dispersion terms in the nonlinear Schrödinger equation enables to solve the global Cauchy problem for nonlinearities which are (super) critical in the standard case. Some blow-up results are proved in the supercritical case. Then, we prove the existence of solitary waves and discuss their regularity, their exponential decay rate at infinity, and their stability.

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Olivier Bouchel. "Remarks on NLS with higher order anisotropic dispersion." Adv. Differential Equations 13 (1-2) 169 - 198, 2008. https://doi.org/10.57262/ade/1355867363

Information

Published: 2008
First available in Project Euclid: 18 December 2012

zbMATH: 1159.35424
MathSciNet: MR2482540
Digital Object Identifier: 10.57262/ade/1355867363

Subjects:
Primary: 35Q55
Secondary: 35B40 , 35Q51

Rights: Copyright © 2008 Khayyam Publishing, Inc.

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Vol.13 • No. 1-2 • 2008
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