On the quasi-linear heat equation with time-dependent obstacles

DOI10.1016/0362-546X(81)90072-9zbMath0458.35053MaRDI QIDQ3907922

Nobuyuki Kenmochi

Publication date: 1981

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

zbMATH Keywords

existenceuniquenessnonlinear evolution equationquasi-linear heat equationsubdifferential of a convex functionproblem with obstacle

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Heat equation (35K05) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (7)

The vanishing viscosity method and a two-phase Stefan problem with nonlinear flux condition of Signorini type ⋮ Relaxation in nonconvex optimal control problems with subdifferential operators ⋮ Asymptotic behavior of solutions to a multi-phase Stefan problem ⋮ A class of nonlinear elliptic—parabolic equations with time-dependent constraints ⋮ Parabolic-elliptic free boundary problems with time-dependent obstacles ⋮ Well-posedness of initial boundary value problem of degenerate parabolic equations ⋮ Asymptotic behavior of solutions to a class of nonlinear evolution equations

Cites Work

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• Le problème de Stefan avec conditions laterales variables
• Some nonlinear parabolic variational inequalities
• Sur un'inéquation parabolique avec convexe dependent du temps
• Nonlinear evolution equations with variable domains in Hilbert spaces
• Strong solutions for parabolic variational inequalities
• Some results on the multi-phase stefan problem

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