Analyticity on \(L_1\) of the heat semigroup with Wentzell boundary conditions

DOI10.1007/s00013-009-0068-6zbMath1186.35094OpenAlexW2047878693MaRDI QIDQ849204

Mahamadi Warma

Publication date: 25 February 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-009-0068-6

zbMATH Keywords

analytic semigroupsWentzell boundary conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05)

Related Items (6)

Geometrically constrained stabilization of wave equations with Wentzell boundary conditions ⋮ \(L^{p}\)-theory of elliptic differential operators with unbounded coefficients ⋮ ANALYTICITY OF SEMIGROUPS GENERATED BY SECOND-ORDER DIFFERENTIAL OPERATORS ON WEIGHTED L²-SPACES ⋮ Asymptotics of semigroups generated by operator matrices ⋮ Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds ⋮ Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable

Cites Work

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• Strongly continuous dual semigroups
• Dual semigroups and second order linear elliptic boundary value problems
• A solution to an open problem for wave equations with generalized Wentzell boundary conditions
• The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions
• The Laplacian on \(C(\overline\Omega)\) with generalized Wentzell boundary conditions
• The heat equation with generalized Wentzell boundary condition.
• Wentzell-Robin boundary conditions on \(C[0,1\)]
• The adjoint semi-group
• Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem

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