The Dirichlet problem associated to the relativistic heat equation

DOI10.1007/s00208-009-0428-3zbMath1188.35108OpenAlexW2017981246MaRDI QIDQ2268144

Salvador Moll, Vincent Caselles, Fuensanta Andreu, José M. Mazón Ruiz

Publication date: 10 March 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0428-3

zbMATH Keywords

entropy solutionsaccretive operators

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) PDEs in connection with relativity and gravitational theory (35Q75) Quasilinear parabolic equations (35K59)

Related Items (14)

Qualitative behavior and traveling waves for flux-saturated porous media equations arising in optimal mass transportation ⋮ Local-in-time regularity results for some flux-limited diffusion equations of porous media type ⋮ Positive classical solutions of Dirichlet problem for the steady relativistic heat equation ⋮ On a nonlinear flux-limited equation arising in the transport of morphogens ⋮ Anisotropic tempered diffusion equations ⋮ Almost classical solutions to the total variation flow ⋮ On the entropy conditions for some flux limited diffusion equations ⋮ Strong solutions to a parabolic equation with linear growth with respect to the gradient variable ⋮ Partial differential equations governed by accretive operators ⋮ QUALITATIVE PROPERTIES OF THE SOLUTIONS OF A NONLINEAR FLUX-LIMITED EQUATION ARISING IN THE TRANSPORT OF MORPHOGENS ⋮ Qualitative behaviour for flux-saturated mechanisms: travelling waves, waiting time and smoothing effects ⋮ Nonlinear diffusion in transparent media: the resolvent equation ⋮ Discretization of flux-limited gradient flows: $\Gamma $-convergence and numerical schemes ⋮ Flux-saturated porous media equations and applications

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