Time dependent loss of derivatives for hyperbolic operators with non-regular coefficients
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en
Document de travail - Pré-publication
Resumen en inglés
In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coe cients in any space dimension N>=1. We will suppose the coe cients to be log-Zygmund continuous in time and log-Lipschitz ...Leer más >
In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coe cients in any space dimension N>=1. We will suppose the coe cients to be log-Zygmund continuous in time and log-Lipschitz continuous in space. Paradi erential calculus with parameters will be the main tool to get energy estimates in Sobolev spaces and these estimates will present a time-dependent loss of derivatives.< Leer menos
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New analytical and numerical methods in wave propagation
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