A class of nonlinear elliptic—parabolic equations with time-dependent constraints

DOI10.1016/0362-546X(86)90058-1zbMath0635.35043OpenAlexW2040874526MaRDI QIDQ3774237

Irena Pawłow, Nobuyuki Kenmochi

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90058-1

zbMATH Keywords

existenceuniquenessCauchy problemconvex functionmaximal monotone operatorsubdifferentialporous medianonlinear evolution equationsA priori estimatesmulti-phase flowscontinuous dependenceelliptic-parabolic variational inequalitiestime-dependent obstacleselectrochemical technology

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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