Degenerate flux for dynamic boundary conditions in parabolic and hyperbolic equations

DOI10.3934/dcdss.2016019zbMath1353.35188OpenAlexW2339034697MaRDI QIDQ317043

Raluca Clendenen, Gisèle Ruiz Goldstein, Jerome A. Goldstein

Publication date: 30 September 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2016019

zbMATH Keywords

Wentzell boundary conditionsparabolic asymptoticsstrongly damped Wentzell wave equationWentzell telegraph equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (3)

On hyperbolic mixed problems with dynamic and Wentzell boundary conditions ⋮ Nonsymmetric elliptic operators with Wentzell boundary conditions in general domains ⋮ A perturbation theorem for abstract linear non-autonomous systems with an application to a mixed hyperbolic problem

Cites Work

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• Asymptotic analysis of the abstract telegraph equation.
• Continuous dependence on the boundary conditions for the Wentzell Laplacian
• The heat equation with generalized Wentzell boundary condition.
• Continuous dependence in hyperbolic problems with Wentzell boundary conditions
• Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem
• Asymptotic parabolicity for strongly damped wave equations

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