Localization and boundedness of the solutions of the Neumann problem for a filtration equation

DOI10.1016/0362-546X(89)90032-1zbMath0705.35067MaRDI QIDQ3485304

Carmen Cortázar, Manuel Elgueta

Publication date: 1989

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

zbMATH Keywords

uniquenessExistenceNeumann problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05)

Related Items (6)

Diffusivity determination in nonlinear diffusion ⋮ A nonlocal nonlinear diffusion equation with blowing up boundary conditions ⋮ Limiting profile of solutions of quasilinear parabolic equations with flat peaking ⋮ The role of nonlinear diffusion in non-simultaneous blow-up ⋮ How parabolic free boundaries approximate hyperbolic fronts ⋮ Localized blow-up regimes for quasilinear doubly degenerate parabolic equations

Cites Work

• The application of dissipative operators to nonlinear diffusion equations
• The total variation of solutions of parabolic differential equations and a maximum principle in unbounded domains
• Existence of Generalized Solutions of a Nonlinear Diffusion Cauchy Problem
• On the Existence of Weak-Solutions to an n-Dimensional Stefan Problem with Nonlinear Boundary Conditions
• Some results on the multi-phase stefan problem
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