Continuous dependence in hyperbolic problems with Wentzell boundary conditions

DOI10.3934/cpaa.2014.13.419zbMath1272.35023OpenAlexW2331059758MaRDI QIDQ2391365

Angelo Favini, Gisèle Ruiz Goldstein, Jerome A. Goldstein, Giuseppe Maria Coclite, Silvia Romanelli

Publication date: 31 July 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.419

zbMATH Keywords

semigroup approximationhigher order boundary operatorsLaplace-Beltrami operator on the boundary

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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Cites Work

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• Continuous dependence on the boundary conditions for the Wentzell Laplacian
• Theory of function spaces
• The heat equation with generalized Wentzell boundary condition.
• Time dependent hyperbolic equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem
• One-Parameter Semigroups for Linear Evolution Equations
• Asymptotic equipartition of operator-weighted energies in damped wave equations
• Properties of solutions of ordinary differential equations in banach space

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