Reaction-diffusion in irregular domains

DOI10.1006/jdeq.2000.3761zbMath0956.35069OpenAlexW2047412529MaRDI QIDQ1581860

Ugur G. Abdulla

Publication date: 28 February 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3761

zbMATH Keywords

Dirichlet problemcomparison theoremsCauchy-Dirichlet problemnoncylindrical domainssingular parabolic equationboundary regularitynonlinear degenerate parabolic equationnonsmooth boundaries

Mathematics Subject Classification ID

Related Items (11)

Evolution of interfaces and explicit asymptotics at infinity for the fast diffusion equation with absorption ⋮ 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 ⋮ Evolution of interfaces for the non-linear parabolic p-Laplacian type reaction–diffusion 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 ⋮ On the Dirichlet problem for the nonlinear diffusion equation in non-smooth domains ⋮ Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations ⋮ On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach ⋮ Reaction-diffusion in a closed domain formed by irregular curves

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