Existence, uniqueness and properties of the solutions of a degenerate parabolic equation with diffusion-advection-absorption

DOI10.1007/BF02006112zbMath0811.35070MaRDI QIDQ1335382

Bin-Heng Song

Publication date: 8 May 1995

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

one dimensional filtration of water into porous media

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (5)

On propagation properties of perturbation in nonlinear degenerate diffusions with convection and absorption ⋮ Propagation profile of support for evolution \(p\)-Laplacian with convection in half space ⋮ Anisotropic diffusions with singular advections and absorptions. II: Uniqueness ⋮ Propagation property for anisotropic nonlinear diffusion equation with convection ⋮ Reaction-diffusion in irregular domains

Cites Work

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• Existence and uniqueness of weak solutions of uniformly degenerate quasilinear parabolic equations
• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
• The occurrence of interfaces in nonlinear diffusion-advection processes
• Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities
• Filtration with absorption: Necessary and sufficient condition for the propagation of perturbations to have finite velocity
• Positivity versus localization in degenerate diffusion equations
• Degenerate parabolic equations with general nonlinearities

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