Evolution equations for nonlinear degenerate parabolic PDE

DOI10.1016/J.NA.2005.07.027zbMath1103.35054OpenAlexW1976362911MaRDI QIDQ2492472

Masahiro Kubo, Quqin Lu

Publication date: 9 June 2006

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/j.na.2005.07.027

zbMATH Keywords

nonlinear parabolic equationDirichlet boundary conditionevolution equationstime-dependent subdifferentialsmaximal monotone graphs

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Set-valued operators (47H04) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

Periodic solutions of non-isothermal phase separation models with constraint

Cites Work

• Nonlinear degenerate parabolic equations with Neumann boundary condition
• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• Well-posedness of initial boundary value problem of degenerate parabolic equations
• Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions
• Evolution equations generated by subdifferentials in the dual space of \((H^1(\Omega))\)
• Hysteresis and phase transitions
• Integrals which are convex functionals
• Some results on the multi-phase stefan problem
• Nonexistence of solutions for a degenerate parabolic equation describing imperfect ignition
• A limit case in nonlinear diffusion
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