The Cauchy Problem for Wave Equations with NonLipschitz Coefficients

dc.creatorColombini, Ferruccio
dc.creatorMetivier, Guy
dc.date2006-11-14
dc.date.accessioned2026-07-07T07:32:54Z
dc.date.available2026-07-07T07:32:54Z
dc.descriptionIn 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.
dc.description44 pages
dc.identifierhttps://arxiv.org/abs/math/0611426
dc.identifierhttp://arxiv.org/abs/math/0611426
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119273
dc.subjectAnalysis of PDEs
dc.titleThe Cauchy Problem for Wave Equations with NonLipschitz Coefficients
dc.typetext

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