LARGE TIME BEHAVIOR OF SOLUTIONS TO SOME DEGENERATE PARABOLIC EQUATIONS

DOI10.1081/PDE-100106138zbMath1056.35096MaRDI QIDQ2769492

Noureddine Igbida

Publication date: 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Stefan probleminitial-boundary value problemsmaximal monotone graphs

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stefan problems, phase changes, etc. (80A22) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35)

Related Items

Some nonlinear equations of the nonstable filtration type and embedding theorems ⋮ Long-time behavior of solutions of some doubly nonlinear equation ⋮ Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems ⋮ Stabilization for degenerate diffusion with absorption ⋮ Asymptotics of the porous media equation via Sobolev inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• A generalized Stefan problem in several space variables
• Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions
• Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
• The Lyapunov method for semigroups of nonlinear contractions in Banach spaces
• Stabilization of solutions of the filtration equation with absorption and nonlinear flux
• Asymptotic behavior of nonlinear contraction semigroups
• Some properties of the nonlinear semigroup for the problem ut − Δf(u) = 0
• Asymptotic behavior of solutions to a multi-phase Stefan problem
• The Mesa Problem: Diffusion Patterns for u_t = ∇ · (u^m∇u) as m → +∞
• Effets régularisants de semi-groupes non linéaires dans des espaces de Banach
• Nonincrease of mushy region in a nonhomogeneous Stefan problem