Large time behaviour of solutions to a class of non-autonomous, degenerate parabolic equations

DOI10.1007/s00208-010-0496-4zbMath1204.35049OpenAlexW2001495470MaRDI QIDQ711569

Vincenzo Vespri, Stella Vernier Piro, Francesco Ragnedda

Publication date: 27 October 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-010-0496-4

zbMATH Keywords

asymptotic behaviour of solutionsinitial boundary value problemmeasurable coefficientsnon-autonomous degenerate parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59)

Related Items (8)

Interior estimates for generalized Forchheimer flows of slightly compressible fluids ⋮ Stability of the solutions of a convection-diffusion equation ⋮ Pointwise estimates for the fundamental solutions of a class of singular parabolic problems ⋮ Asymptotic time behaviour for non-autonomous degenerate parabolic problems with forcing term ⋮ Coexistence and optimal control problems for a degenerate predator-prey model ⋮ Global estimates for generalized Forchheimer flows of slightly compressible fluids ⋮ Properties of generalized Forchheimer flows in porous media ⋮ On an electrorheological fluid equation with orientated convection term

Cites Work

• Unnamed Item
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• Large time behaviour of solutions of the porous media equation with absorption
• Fundamental solutions and asymptotic behaviour for the p-Laplacian equations
• Harnack estimates for quasi-linear degenerate parabolic differential equations
• Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations
• Local clustering of the non-zero set of functions in \(W^{1,1} (E)\)
• The asymptotic profile of solutions of degenerate diffusion equations
• Monotone (nonlinear) operators in Hilbert space
• Stability of the separable solution for fast diffusion
• Large time behaviour of solutions of the porous medium equation in bounded domains
• A Harnack inequality for a degenerate parabolic equation
• Asymptotic Behaviour and Propagation Properties of the One-Dimensional Flow of Gas in a Porous Medium
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• The Asymptotic Behavior of Gas in an n-Dimensional Porous Medium
• Decay of solutions of a degenerate nonlinear diffusion equation
• Asymptotic Behaviour of Solutions of the Porous Medium Equation with Changing Sign
• The asymptotic profile of solutions of a class of doubly nonlinear equations

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