Initial trace for a porous medium equation. I: The strong absorption case

DOI10.1007/BF02505966zbMath1220.35087MaRDI QIDQ2569740

Emmanuel Chasseigne

Publication date: 20 October 2005

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Critical exponents in context of PDEs (35B33)

Related Items (2)

Initial trace of solutions of some quasilinear parabolic equations with absorption ⋮ Classification of razor blades to the filtration equation -- the sublinear case.

Cites Work

• Nonlinear parabolic equations involving measures as initial conditions
• Non-negative solutions to fast diffusions
• A boundary modulus of continuity for a class of singular parabolic equations
• Existence and uniqueness on the very singular solution of the porous media equation with absorption
• Existence and uniqueness of solutions of diffusion-absorption equations with general data
• The Initial Trace of a Solution of the Porous Medium Equation
• A Fatou Theorem for Solutions of the Porous Medium Equation
• Nonnegative Solutions of the Initial-Dirichlet Problem for Generalized Porous Medium Equations in Cylinders
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Effets régularisants de semi-groupes non linéaires dans des espaces de Banach
• Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure
• A class of degenerate diffusion equations with a singular nonlinear term
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