Remarks on the Well-Posedness of the Nonlinear Cauchy Problem

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dc.creatorMetivier, Guy
dc.date2006-11-14
dc.date.accessioned2026-07-07T07:39:47Z
dc.date.available2026-07-07T07:39:47Z
dc.descriptionWe show that hyperbolicity is a necessary condition for the well posedness of the noncharacteristic Cauchy problem for nonlinear partial differential equations. We give conditions on the initial data which are necessary for the existence of solutions and we analyze Hadamard's instabilities in Sobolev spaces. We also show that genuinely nonlinear equations raise new interesting problems.
dc.identifierhttps://arxiv.org/abs/math/0611441
dc.identifierhttp://arxiv.org/abs/math/0611441
dc.identifierContemporary Mathematics 368 (2005) 337-356
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121583
dc.subjectAnalysis of PDEs
dc.titleRemarks on the Well-Posedness of the Nonlinear Cauchy Problem
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