Decay Estimates for a Viscous Hamilton-Jacobi Equation with Homogenious Dirichet Boundary Conditions

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dc.creatorBenachour, Said
dc.creatorDabuleanu-Hapca, Simona
dc.creatorLaurençot, Philippe
dc.date2006-09-12
dc.date.accessioned2026-07-07T07:24:45Z
dc.date.available2026-07-07T07:24:45Z
dc.descriptionGlobal classical solutions to the viscous Hamilton-Jacobi equation with homogenious Dirichlet boundary conditions are shown to converge to zero at the same speed as the linear heat semigroup when p > 1. For p = 1, an exponential decay to zero is also obtained in one space dimension but the rate depends on a and differs from that of the linear heat equation. Finally, if 0 < p < 1 and a < 0, finite time extinction occurs for non-negative solutions.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0609332
dc.identifierhttp://arxiv.org/abs/math/0609332
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116485
dc.subjectAnalysis of PDEs
dc.subject35B40, 35K55, 35K60, 35B33, 35B35
dc.titleDecay Estimates for a Viscous Hamilton-Jacobi Equation with Homogenious Dirichet Boundary Conditions
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