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Bulletin of the London Mathematical Society Advance Access originally published online on April 3, 2009
Bulletin of the London Mathematical Society 2009 41(3):549-558; doi:10.1112/blms/bdp027
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© 2009 London Mathematical Society

Local well-posedness of nonlinear dispersive equations on modulation spaces

Árpád Bényi

Department of Mathematics
Western Washington University
516 High Street
Bellingham WA 98225
USA
arpad.benyi@wwu.edu

Kasso A. Okoudjou

Department of Mathematics
University of Maryland
College Park MD 20742
USA

Received 6 April 2007. Revision received 21 October 2008.

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 MFormula.

2000 Mathematics Subject Classification 35Q55 (primary), 35C15, 42B15, 42B35 (secondary).


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