On the Dirichlet problem for the nonlinear diffusion equation in non-smooth domains

zbMath1035.35056MaRDI QIDQ5945098

Ugur G. Abdulla

Publication date: 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

porous medium equationfast-diffusion equationnon-cylindrical domain

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65)

Related Items (11)

Evolution of interfaces for the nonlinear parabolic p-Laplacian-type reaction-diffusion equations. II. Fast diffusion vs. absorption ⋮ Well-posedness of the Dirichlet problem for the non-linear diffusion equation in non-smooth domains ⋮ Local bounds of the gradient of weak solutions to the porous medium equation ⋮ Evolution of interfaces for the non-linear parabolic p-Laplacian type reaction–diffusion equations ⋮ Continuity up to the boundary for obstacle problems to porous medium type equations ⋮ Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations. II: Fast diffusion versus absorption ⋮ Reaction-diffusion in nonsmooth and closed domains ⋮ Evolution of interfaces for the nonlinear double degenerate parabolic equation of turbulent filtration with absorption ⋮ Boundary regularity for the porous medium equation ⋮ Nonlinear theory for thermoelastic solids with mass diffusion ⋮ Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations

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