The Cauchy Problem for Wave Equations with NonLipschitz Coefficients

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In this paper we study the Cauchy problem for second order strictly hyperbolic operators when the coefficients of the principal part are not Lipschitz continuous, but only "Log-Lipschitz" with respect to all the variables. This class of equation is invariant under changes of variables and therefore suitable for a local analysis. In particular, we show local existence, local uniqueness and finite speed of propagation for the noncharacteristic Cauchy problem.
44 pages

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Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/119273

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611426
 http://arxiv.org/abs/math/0611426

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arXiv