A free-boundary problem for a degenerate parabolic system

DOI10.1016/0022-0396(83)90081-5zbMath0476.35083OpenAlexW2023050391MaRDI QIDQ1160367

Emmanuele DiBenedetto, Ralph E. Showalter

Publication date: 1983

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90081-5

zbMATH Keywords

first initial-boundary value problemwell-posedmaximal monotone graphsfree-boundary problem of Stefan typenon-negativity of a solution

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear differential equations in abstract spaces (34G20) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35)

Related Items

Approximation in the identification of nonlinear degenerate distributed parameter systems, Application of nonlinear semigroup theory to a system of PDEs governing diffusion processes in a heterogeneous medium, Existence and uniqueness of a solution of the problem with free boundary in the theory of filtration consolidation of soils with regard for the influence of technogenic factors, Upscaling of a diffusion problem with interfacial flux jump leading to a modified Barenblatt model, Micro-structure models of diffusion in fissured media, Existence and convergence theorems for doubly nonlinear partial differential equations of elliptic-parabolic type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Continuity of weak solutions to certain singular parabolic equations
• Semi-linear second-order elliptic equations in \(L^1\)
• A cooling process according to two-temperature theory of heat conduction
• On a theory of heat conduction involving two temperature
• Linear and quasilinear elliptic equations
• Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Implicit Degenerate Evolution Equations and Applications
• A pseudo-parabolic variational inequality and Stefan problem
• Perturbations in a Class of Nonlinear Abstract Equations
• The Stefan Problem in Several Space Variables