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
Recommended Citation
Bényi, Árpád and Okoudjou, Kasso A., "Local Well-posedness of Nonlinear Dispersive Equations on Modulation Spaces" (2009). Mathematics Faculty Publications. 51.
https://cedar.wwu.edu/math_facpubs/51
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