Irregular time dependent obstacles

DOI10.1016/j.jfa.2012.07.014zbMath1257.35112arXiv1011.1901OpenAlexW2963633805MaRDI QIDQ1760165

Mikko Parviainen, Peter Lindqvist

Publication date: 13 November 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1901

zbMATH Keywords

supersolutionLavrentiev phenomenonleast solution\(p\)-parabolicdiscontinuous obstacle

Mathematics Subject Classification ID

Quasilinear parabolic equations with (p)-Laplacian (35K92) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (13)

Nonlinear parabolic capacity and polar sets of superparabolic functions ⋮ Nonlinear gradient estimates for parabolic problems with irregular obstacles ⋮ Obstacle problem for a class of parabolic equations of generalized \(p\)-Laplacian type ⋮ Characterizations of interior polar sets for the degenerate \(p\)-parabolic equation ⋮ Sharp regularity for evolutionary obstacle problems, interpolative geometries and removable sets ⋮ Obstacle problem of a nonlinear anisotropic parabolic equation ⋮ Lower semicontinuous obstacles for the porous medium equation ⋮ Lorentz estimates for obstacle parabolic problems ⋮ The obstacle problem for the porous medium equation ⋮ The obstacle problem for parabolic minimizers ⋮ Boundary regularity for degenerate and singular parabolic equations ⋮ Optimal regularity for the obstacle problem for the \(p\)-Laplacian ⋮ Variational parabolic capacity

Cites Work

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• Local approximation of superharmonic and superparabolic functions in nonlinear potential theory
• A connection between a general class of superparabolic functions and supersolutions
• Viscosity supersolutions of the evolutionary \(p\)-Laplace equation.
• Lower semicontinuity of weak supersolutions to nonlinear parabolic equations.
• Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation
• Degenerate parabolic equations
• Continuity of parabolic \(Q\)-minima under the presence of irregular obstacles
• Obstacle problem for nonlinear parabolic equations
• An existence result for superparabolic functions
• Compact sets in the space \(L^ p(0,T;B)\)
• Quasilinear elliptic-parabolic differential equations
• Nonlinear parabolic equations with measure data
• Boundary regularity for degenerate and singular parabolic equations
• Degenerate problems with irregular obstacles
• Stability in Obstacle Problems.
• The Lavrentiev Phenomenon and the Obstacle Problem for the Dirichlet Integral
• On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation

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