Document Type

Article

Publication Date

2009

Keywords

Nonlinear Schrödinger equation, Well-posedness, Modulation space, Cauchy data

Abstract

By using tools of time-frequency analysis, we obtain some improved local well-posedness results for the nonlinear Schrödinger, nonlinear wave and nonlinear Klein–Gordon equations with Cauchy data in modulation spaces ℳ0,sp,1.

Publication Title

Bulletin of the London Mathematical Society

Volume

41

Issue

3

First Page

549

Last Page

558

DOI

http://dx.doi.org/10.1112/blms/bdp027

Required Publisher's Statement

© 2009 London Mathematical Society

The final publication is available at Oxford Journals via http://dx.doi.org/10.1112/blms/bdp027

Subjects - Topical (LCSH)

Gross-Pitaevskii equations; Cauchy integrals

Genre/Form

articles

Type

Text

Rights

Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.

Language

English

Format

application/pdf

Included in

Mathematics Commons

COinS