Sharp Decay Estimates and Vanishing Viscosity for Diffusive Hamilton-Jacobi Equations

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dc.creatorBenachour, Said
dc.creatorBen-Artzi, Matania
dc.creatorLaurençot, Philippe
dc.date2008-11-10
dc.date.accessioned2026-07-07T10:17:12Z
dc.date.available2026-07-07T10:17:12Z
dc.descriptionSharp temporal decay estimates are established for the gradient and time derivative of solutions to a viscous Hamilton-Jacobi equation as well the associated Hamilton-Jacobi equation. Special care is given to the dependence of the estimates on the viscosity. The initial condition being only continuous and either bounded or non-negative. The main requirement on the Hamiltonians is that it grows superlinearly or sublinearly at infinity, including in particular H(r) = r^p for r non-negatif and p positif and different from 1.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0811.1435
dc.identifierhttp://arxiv.org/abs/0811.1435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173771
dc.subjectAnalysis of PDEs
dc.subject35F25, 35K15, 35K55, 49L25
dc.titleSharp Decay Estimates and Vanishing Viscosity for Diffusive Hamilton-Jacobi Equations
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