From fast to very fast diffusion in the nonlinear heat equation

DOI10.1090/S0002-9947-09-04540-1zbMath1180.35300MaRDI QIDQ3182530

Noureddine Igbida

Publication date: 9 October 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

degenerate parabolic equationboundary layerporous medium equationsign-changing solutionsingular limitfast diffusionlogarithmic diffusion equationnonhomogeneous Neumann boundary conditionsemigroup of contraction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (2)

\(L^1\) existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions ⋮ Existence of maximal solutions for some very singular nonlinear fractional diffusion equations in 1D

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