Local Existence for Nonlinear Cauchy Problems with Small Analytic Data

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J. Math. Sci. Univ. Tokyo
Vol. 18 (2011), No. 1, Page 51--65.

Yamane, Hideshi
Local Existence for Nonlinear Cauchy Problems with Small Analytic Data
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
We study the lifespan of solutions to fully nonlinear second-order Cauchy problems with small real- or complex-analytic data. In each case, the nonlinear term is analytic in (the complex conjugates of) the derivatives of the unknown function. This is an improvement of our previous result.

Keywords: Nonlinear wave equations, analytic functions.

Mathematics Subject Classification (2010): Primary 35A01.

Received: 2010-12-08

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