On solutions to the initial-boundary value problem for an equation in the theory of infiltration

DOI10.1016/0362-546X(84)90026-9zbMath0539.35041OpenAlexW2077781147MaRDI QIDQ3326112

Mitsuhiro Nakao

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90026-9

zbMATH Keywords

existenceuniquenessinfiltrationregularizing effect

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (4)

L∞-estimates of solutions of some nonlinear degenerate parabolic equations ⋮ Regularity in Sobolev spaces for the fast diffusion and the porous medium equation ⋮ Saturated-unsaturated flow in unconfined aquifers ⋮ Existence and decay of global solutions of some nonlinear degenerate parabolic equations

Cites Work

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• Gradient estimates for degenerate diffusion equations. I
• Large time behaviour of solutions of the porous medium equation in bounded domains
• On solutions to the initial-boundary value problem for (partial d)u/(partial d)t - Delta beta(u)=f
• The Cauchy problem for an equation in the theory of infiltration
• L^PBounds of solutions of reaction-diffusion equations
• CONVERGENCE OF SOLUTIONS OF THE WAVE EQUATION WITH A NONLINEAR DISSIPATIVE TERM TO THE STEADY STATE

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