An Ill Posed Cauchy Problem for a Hyperbolic System in Two Space Dimensions

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dc.creatorBressan, Alberto
dc.date2003-02-19
dc.date.accessioned2026-07-07T04:55:25Z
dc.date.available2026-07-07T04:55:25Z
dc.descriptionThe theory of weak solutions for nonlinear conservation laws is now well developed in the case of scalar equations [3] and for one-dimensional hyperbolic systems [1, 2]. For systems in several space dimensions, however, even the global existence of solutions to the Cauchy problem remains a challenging open question. In this note we construct a conterexample showing that, even for a simple class of hyperbolic systems, in two space dimensions the Cauchy problem can be ill posed.
dc.description12 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0302227
dc.identifierhttp://arxiv.org/abs/math/0302227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66570
dc.subjectAnalysis of PDEs
dc.titleAn Ill Posed Cauchy Problem for a Hyperbolic System in Two Space Dimensions
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