Parabolic and elliptic problems with general Wentzell boundary condition on Lipschitz domains

DOI10.3934/cpaa.2013.12.1881zbMath1268.35031OpenAlexW2315462964WikidataQ125389423 ScholiaQ125389423MaRDI QIDQ1948423

Mahamadi Warma

Publication date: 6 May 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.1881

zbMATH Keywords

weak solutionHölder continuityanalytic semigroupsSchauder estimatessecond order elliptic operatorsgeneral Wentzell boundary conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Parabolic problems with general Wentzell boundary conditions and diffusion on the boundary ⋮ The Bi-Laplacian with Wentzell boundary conditions on Lipschitz domains ⋮ Semi-linear elliptic and elliptic-parabolic equations with Wentzell boundary conditions and \(L^1\)-data ⋮ Existence of bounded solutions for a class of quasilinear elliptic systems on manifolds with boundary ⋮ Direct and inverse problems for a 2D heat equation with a Dirichlet-Neumann-Wentzell boundary condition ⋮ Boundary value problems with rough boundary data ⋮ Inverse source problem for heat equation with nonlocal Wentzell boundary condition ⋮ Maximal regularity, analytic semigroups, and dynamic and general Wentzell boundary conditions with a diffusion term on the boundary

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