Stability for degenerate parabolic equations

DOI10.1515/ACV.2010.002zbMath1185.35123OpenAlexW2011877952MaRDI QIDQ3400072

Juha Kinnunen, Mikko Parviainen

Publication date: 5 February 2010

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv.2010.002

zbMATH Keywords

global higher integrabilitycapacity density conditionevolutionary \(p\)-Laplace equaton

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55)

Related Items

Convergence in \(C([0,T;L^{2}(\Omega))\) of weak solutions to perturbed doubly degenerate parabolic equations] ⋮ Global higher integrability for non-quadratic parabolic quasi-minimizers on metric measure spaces ⋮ Geometric estimates for doubly nonlinear parabolic PDEs ⋮ Stability for evolution equations with variable growth ⋮ Finite speed propagation for parabolic quasiminimizers ⋮ Stability of solutions to stochastic partial differential equations ⋮ New perturbation methods for nonlinear parabolic problems ⋮ Stability for parabolic quasiminimizers ⋮ Existence for evolutionary problems with linear growth by stability methods ⋮ Stability for systems of porous medium type ⋮ Self-improving property of nonlinear higher order parabolic systems near the boundary ⋮ Global higher integrability of weak solutions of porous medium systems ⋮ Existence for evolutionary Neumann problems with linear growth by stability results ⋮ Stability of degenerate heat equation in non-cylindrical/cylindrical domain ⋮ Higher integrability and stability of \((p,q)\)-quasiminimizers ⋮ Stability of degenerate parabolic Cauchy problems ⋮ Global higher integrability for parabolic quasiminimizers in metric measure spaces

Cites Work

• Compact sets in the space \(L^ p(0,T;B)\)
• Spectral analysis and synthesis on symmetric spaces
• Higher integrability for parabolic systems of \(p\)-Laplacian type
• Reverse Hölder inequalities for singular parabolic equations near the boundary
• On Strong Barriers and an Inequality of Hardy for Domains in R ⁿ
• Global integrability of the gradients of solutions to partial differential equations
• On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation

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