Wiener's criterion for divergence form parabolic operators with \(C^ 1\)- Dini continuous coefficients

DOI10.1215/S0012-7094-89-05906-1zbMath0705.35057OpenAlexW1975433970MaRDI QIDQ917793

Ermanno Lanconelli, Nicola Garofalo, Eugene B. Fabes

Publication date: 1989

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-89-05906-1

zbMATH Keywords

Wiener's criterion

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (15)

Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey ⋮ Wiener-Landis criterion for Kolmogorov-type operators ⋮ The Petrovskiĭ criterion and barriers for degenerate and singular \(p\)-parabolic equations ⋮ BMO solvability and absolute continuity of caloric measure ⋮ Polyharmonic capacity and Wiener test of higher order ⋮ Wiener regularity for large solutions of nonlinear equations ⋮ A weak reverse Hölder inequality for caloric measure ⋮ Wiener-type tests from a two-sided Gaussian bound ⋮ On a non-smooth potential analysis for Hörmander-type operators ⋮ A Wiener test à la Landis for evolutive Hörmander operators ⋮ Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation ⋮ Solutions positives et mesure harmonique pour des operateurs paraboliques dans des ouverts ``Lipschitziens. (Positive solutions and harmonic measure for parabolic operators in ``Lipschitz domains) ⋮ The tusk condition and Petrovskiĭ criterion for the normalized p‐parabolic equation ⋮ Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains ⋮ On the Dirichlet boundary value problem for the normalized \(p\)-Laplacian evolution

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• Sulproblema di Dirichlet per l'equazione del calore
• Wiener's criterion for the heat equation
• On the theory of potentials in locally compact spaces
• Wiener's Criterion for Parabolic Equations with Variable Coefficients and Its Consequences
• A harnack inequality for parabolic differential equations

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