Goldstein-Wentzell boundary conditions: recent results with Jerry and Gisèle Goldstein

DOI10.3934/dcds.2014.34.749zbMath1275.47093OpenAlexW2323813563MaRDI QIDQ379750

Silvia Romanelli

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.749

zbMATH Keywords

analytic semigroupsWentzell boundary conditionscontinuous dependence on the boundary conditions

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Wave equation (35L05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

Wave equation with viscoelastic acoustic boundary conditions and supercritical source term ⋮ Inverse time-dependent source problem for the heat equation with a nonlocal Wentzell-Neumann boundary condition ⋮ Fast reaction limit of a volume–surface reaction–diffusion system towards a heat equation with dynamical boundary conditions

Cites Work

• Continuous dependence on the boundary conditions for the Wentzell Laplacian
• The heat equation with generalized Wentzell boundary condition.
• On the convergence and approximation of cosine functions
• Continuous dependence in hyperbolic problems with Wentzell boundary conditions
• Derivation and physical interpretation of general boundary conditions
• Analyticity of semigroups generated by operators with generalized Wentzell boundary conditions
• Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem
• $C_0$-semigroups generated by second order differential operators with general Wentzell boundary conditions
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