A degenerate parabolic equation in noncylindrical domains

DOI10.1007/BF01934341zbMath0754.35071MaRDI QIDQ1195992

Bruno Franchi, Roberta Dal Passo, Michiel Bertsch

Publication date: 12 January 1993

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

Full work available at URL: https://eudml.org/doc/165017

zbMATH Keywords

Cauchy-Dirichlet problemexistence and uniqueness of weak solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Regularity of solutions in optimal control (49N60)

Related Items (5)

Parabolic equations in time-dependent domains ⋮ Radon measure-valued solutions of unsteady filtration equations ⋮ Lamé's system in large size domains: existence, asymptotic behaviour and explicit solution ⋮ Reaction-diffusion in a closed domain formed by irregular curves ⋮ Reaction-diffusion in irregular domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Thermal capacity and boundary regularity
• Nonstationary filtration in partially saturated porous media
• Hyperbolic phenomena in a strongly degenerate parabolic equation
• Sulproblema di Dirichlet per l'equazione del calore
• Wiener's criterion for the heat equation
• Sulla soluzione generalizzata di Wiener per il primo problema di valori al contorno nel caso parabolico
• Wiener's Criterion for Parabolic Equations with Variable Coefficients and Its Consequences
• An elliptic-parabolic free boundary problem
• Regularity Results for an Elliptic-Parabolic Free Boundary Problem
• An elliptic-parabolic free boundary problem: continuity of the interface
• Hölder Continuity of Solutions of Parabolic Equations
• Uniqueness of the entropy solution of a strongly degenerate parabolic equation

This page was built for publication: A degenerate parabolic equation in noncylindrical domains