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On the nonlinear type singularities for semilinear Cauchy problems

✍ Scribed by Daoyuan Fang; Gilles Laschon; Alain Piriou

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
67 KB
Volume
335
Category
Article
ISSN
1631-073X

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✦ Synopsis

We consider the Cauchy problem for the semilinear wave equation. The Cauchy data are assumed to be conormal with respect to a point, and the source term is polynomial with respect to the solution and its first derivatives. Thanks to the study of multiplicative properties of some refined hyperbolic conormal spaces, we improve the known results about the nonlinear type singularities of the solution. To cite this article: D. Fang et al., C. R. Acad. Sci. Paris, Ser. I 335 (2002) 453-458.  2002 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS Sur les singularitiés de type non-linéaire pour des problèmes de Cauchy semi-linéaires Résumé µ,µ+n-3 c dans le cas faiblement semi-linéaire), ce qui implique le Théorème.

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