Intrinsic ultracontractivity of Dirichlet Laplacians in non-smooth domains

DOI10.1007/BF01053433zbMath0803.47043OpenAlexW2035477904MaRDI QIDQ1320302

Fabio Cipriano

Publication date: 3 January 1995

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01053433

zbMATH Keywords

Minkowski dimension\(c\)-covering conditionintrinsic ultracontractivity of Dirichlet Laplaciansisotropic self-similar fractalsJohn, Hölder and \(L^ p\)-averaging domainsLieb's formula

Mathematics Subject Classification ID

Heat equation (35K05) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Intrinsic ultracontractivity for domains in negatively curved manifolds, On uniqueness and nonuniqueness of the positive Cauchy problem for parabolic equations with unbounded coefficients, Semismall perturbations in the Martin theory for elliptic equations, Estimates for Dirichlet heat kernels, intrinsic ultracontractivity and expected exit time on Lipschitz domains, Intrinsic ultracontractivity via capacitary width, Intrinsic ultracontractivity for general Lévy processes on bounded open sets, Intrinsic ultracontractivity on Riemannian manifolds with infinite volume measures, Uniform conditional ergodicity and intrinsic ultracontractivity, Sharp estimates for intrinsic ultracontractivity on \(C^{1,\alpha}\)-domains, Analytic-geometric methods for finite Markov chains with applications to quasi-stationarity, Martin boundaries of elliptic skew products, semismall perturbations, and fundamental solutions of parabolic equations

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