On the asymptotic behavior of solutions to a class of degenerate parabolic problems of Neumann type

DOI10.1016/S0362-546X(99)00159-5zbMath0972.35057OpenAlexW2088407339MaRDI QIDQ1586673

Mimoun Benmimoun

Publication date: 30 October 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00159-5

zbMATH Keywords

decay estimates

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

Cites Work

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• The behavior of solutions of quasi-linear heat equations
• Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions
• Stability of the separable solution for fast diffusion
• The Lyapunov method for semigroups of nonlinear contractions in Banach spaces
• Stabilization of solutions of the filtration equation with absorption and nonlinear flux
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• Stabilization of solutions of the equation
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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