Analyticity of semigroups generated by operators with generalized Wentzell boundary conditions

zbMath1108.47039MaRDI QIDQ2504021

Genni Fragnelli, Klaus-Jochen Engel

Publication date: 22 September 2006

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

analytic semigroupsDirichlet operatorsgeneralized Wenzell boundary conditionsone-sided coupled operator matrices

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Linear differential equations in abstract spaces (34G10)

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Nonsymmetric elliptic operators with Wentzell boundary conditions in general domains ⋮ THE SHOWALTER-SIDOROV AND CAUCHY PROBLEMS FOR THE LINEAR DZEKZER EQUATION WITH WENTZELL AND ROBIN BOUNDARY CONDITIONS IN A BOUNDED DOMAIN ⋮ The Bi-Laplacian with Wentzell boundary conditions on Lipschitz domains ⋮ Goldstein-Wentzell boundary conditions: recent results with Jerry and Gisèle Goldstein ⋮ Strictly elliptic operators with generalized Wentzell boundary conditions on continuous functions on manifolds with boundary ⋮ Analyticity and stability of semigroup related to an abstract initial-boundary value problem ⋮ Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds ⋮ Boundary value problems with rough boundary data ⋮ A PDAE formulation of parabolic problems with dynamic boundary conditions ⋮ Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem ⋮ Perturbation of analytic semigroups and applications to partial differential equations ⋮ Stability estimates for parabolic problems with Wentzell boundary conditions ⋮ Asymptotics of semigroups generated by operator matrices ⋮ Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds ⋮ Linear parabolic problems with dynamic boundary conditions in spaces of Hölder continuous functions ⋮ Stability of parabolic problems with nonlinear Wentzell boundary conditions ⋮ A Multiscale Method for Heterogeneous Bulk-Surface Coupling

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