Dirichlet regularity and degenerate diffusion

DOI10.1090/S0002-9947-2010-05077-9zbMath1205.35139OpenAlexW1975104101MaRDI QIDQ3056571

Michal Chovanec, Wolfgang Arendt

Publication date: 12 November 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2010-05077-9

zbMATH Keywords

degenerate diffusion\(C_0\)-semigroupsDirichlet regularity

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05)

Related Items (5)

Quasilinear elliptic and parabolic Robin problems on Lipschitz domains ⋮ Multiplicative perturbations of the Laplacian and related approximation problems ⋮ Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients ⋮ Inhomogeneous parabolic Neumann problems ⋮ Gaussian estimates for degenerate diffusion

Cites Work

• Invariance of closed convex sets and domination criteria for semigroups
• Regularity in capacity and the Dirichlet Laplacian
• Null controllability of degenerate parabolic operators with drift
• Varying domains: Stability of the Dirichlet and the Poisson problem
• Problème de Cauchy pour opérateurs locaux, et 'changement de temps'
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• Perturbations de générateurs infinitésimaux du type changement de temps
• The parabolic differential equations and the associated semigroups of transformation
• L ¹ Properties of Second order Elliptic Operators
• L ¹ Properties of Two Classes of Singular Second Order Elliptic Operators
• Stochastic flows and the C₀-diffusion property
• On Dirichlet's principle and Poincaré's méthode de balayage
• Heat kernel estimates and functional calculi of $-b \Delta$
• The Dirichlet problem by variational methods
• Equivalence of weak Dirichlet's principle, the method of weak solutions and Perron's method towards classical solutions of Dirichlet's problem for harmonic functions
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