Abstract wave equations with generalized Wentzell boundary conditions

DOI10.1016/j.jde.2003.12.005zbMath1063.35104OpenAlexW2078876414WikidataQ58044336 ScholiaQ58044336MaRDI QIDQ703825

Klaus-Jochen Engel, András Bátkai

Publication date: 11 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.jde.2003.12.005

zbMATH Keywords

abstract Cauchy problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Hydro- and aero-acoustics (76Q05)

Related Items (14)

The wave equation with Wentzell-Robin boundary conditions on \(L^{p}\)-spaces ⋮ Abstract Cauchy problems for quasilinear operators whose domains are not necessarily dense or constant ⋮ Boundary value problems for elliptic partial differential operators on bounded domains ⋮ On a one-parameter continuous family of pairs of complementary boundary conditions ⋮ Second order differential operators with Feller-Wentzell type boundary conditions ⋮ Generation of cosine families via Lord Kelvin's method of images ⋮ Representation of a class of linear operators with coupled domain in a product space and its applications ⋮ Cosine families generated by second-order differential operators on W^1,1(0, 1) with generalized Wentzell boundary conditions ⋮ Perturbing the boundary conditions of the generator of a cosine family ⋮ Approximation theorems for the propagators of higher order abstract Cauchy problems ⋮ Polynomial decay rate for dissipative wave equations with mixed boundary conditions ⋮ Matrix methods for wave equations ⋮ Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions ⋮ Damped wave equations with dynamic boundary conditions

Cites Work

• Unnamed Item
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• Unnamed Item
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• Integrated semigroups
• Ventcel's boundary conditions and analytic semigroups
• Über verallgemeinerte gewöhnliche Differentialoperatoren mit nicht- lokalen Randbedingungen und die von ihnen erzeugten Markov-Prozesse
• The Cauchy problem for higher-order abstract differential equations
• 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 \(C[0,1\)]
• Oscillatory boundary conditions for acoustic wave equations
• Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions
• Wave equation with Wentzell's boundary condition and a related semigroup on the boundary, I
• One-Parameter Semigroups for Linear Evolution Equations
• Analyticity for some degenerate one-dimensional evolution equations
• $C_0$-semigroups generated by second order differential operators with general Wentzell boundary conditions
• Diffusion Processes in One Dimension
• Analytic semigroups on \(H^1(\Omega)\) generated by degenerate elliptic operators

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