Existence of Hölder continuous generalized solutions of the first boundary value problem for quasilinear doubly degenerate parabolic equations

DOI10.1007/BF01670998zbMath0783.35029MaRDI QIDQ1174896

A. V. Ivanov, P. Z. Mkrtychyan

Publication date: 25 June 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonnegative Hölder continuous solutions

Mathematics Subject Classification ID

Related Items (14)

Degenerate and Singular Porous Medium Type Equations with Measure Data ⋮ The obstacle problem for singular doubly nonlinear equations of porous medium type ⋮ The obstacle problem for degenerate doubly nonlinear equations of porous medium type ⋮ Local bounds of the gradient of weak solutions to the porous medium equation ⋮ Local boundedness of weak solutions to the diffusive wave approximation of the shallow water equations ⋮ Continuity estimates for porous medium type equations with measure data ⋮ A weighted estimate of the gradient for nonnegative generalized solutions of quasilinear doubly generated parabolic equations ⋮ A variational approach to doubly nonlinear equations ⋮ Quasilinear parabolic equations with a degenerate absorption potential ⋮ Existence of weak solutions of doubly nonlinear parabolic equations ⋮ Pointwise estimates via parabolic potentials for a class of doubly nonlinear parabolic equations with measure data ⋮ Doubly nonlinear equations of porous medium type ⋮ Existence for singular doubly nonlinear systems of porous medium type with time dependent boundary values ⋮ Localized blow-up regimes for quasilinear doubly degenerate parabolic equations

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• Nonlinear elliptic boundary value problems
• A harnack inequality for parabolic differential equations
• ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES

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