Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds

DOI10.1007/s00233-021-10192-zOpenAlexW3163252009MaRDI QIDQ2037079

Tim Binz

Publication date: 30 June 2021

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-021-10192-z

zbMATH Keywords

analytic semigroupWentzell boundary conditionsDirichlet-to-Neumann operatorRiemmanian manifolds

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)

Related Items (1)

Analyticity and stability of semigroup related to an abstract initial-boundary value problem

Cites Work

• Analysis of the heat kernel of the Dirichlet-to-Neumann operator
• The Dirichlet-to-Neumann operator on rough domains
• Strongly continuous dual semigroups
• Analyticity on \(L_1\) of the heat semigroup with Wentzell boundary conditions
• Ventcel's boundary conditions and analytic semigroups
• Wentzell boundary conditions in the context of Dirichlet forms.
• A semigroup approach to boundary feedback systems
• The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions
• The Laplacian on \(C(\overline\Omega)\) with generalized Wentzell boundary conditions
• Elliptic partial differential equations of second order
• Decoupling techniques for wave equations with dynamic boundary conditions
• Sobolev spaces on Riemannian manifolds
• Partial differential equations. 3: Nonlinear equations
• Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds
• The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary
• Analyticity of the Dirichlet-to-Neumann semigroup on continuous functions
• The Dirichlet-to-Neumann operator via hidden compactness
• Analyticity of semigroups generated by operators with generalized Wentzell boundary conditions
• Vector-valued Laplace Transforms and Cauchy Problems
• Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem
• One-Parameter Semigroups for Linear Evolution Equations
• On determining a Riemannian manifold from the Dirichlet-to-Neumann map
• An Introduction to Partial Differential Equations
• The Dirichlet-to-Neumann operator on $C(\partial \Omega)$
• Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations
• Operators with Wentzell boundary conditions and the Dirichlet‐to‐Neumann operator
• Diffusion Processes in One Dimension
• Analytic semigroups and optimal regularity in parabolic problems
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