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Nonlinear Cauchy problems with small analytic data
Author:
Hideshi Yamane
Journal:
Proc. Amer. Math. Soc. 134 (2006), 3353-3361
MSC (2000):
Primary 35A05, 35L70
Posted:
May 12, 2006
MathSciNet review:
2231920
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Abstract: We study the lifespan of solutions to fully nonlinear Cauchy problems with small real- or complex-analytic data. Our proofs are based on the method of majorants and the fixed point theorem for a contraction mapping.
References
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Additional Information
Hideshi Yamane
Affiliation:
Department of Physics, Kwansei Gakuin University, Gakuen 2-1, Sanda, Hyougo 669-1337, Japan
Email:
yamane@ksc.kwansei.ac.jp
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08410-3
PII:
S 0002-9939(06)08410-3
Keywords:
Nonlinear wave equations,
analytic functions
Received by editor(s):
November 23, 2004
Received by editor(s) in revised form:
June 6, 2005
Posted:
May 12, 2006
Communicated by:
David S. Tartakoff
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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