Stability estimates for parabolic problems with Wentzell boundary conditions

DOI10.1016/J.JDE.2007.12.006zbMath1158.35051OpenAlexW1971631373MaRDI QIDQ952109

Gisèle R. Goldstein, Jerome A. Goldstein, Giuseppe Maria Coclite

Publication date: 6 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.12.006

zbMATH Keywords

stabilityheat equationLaplace-Beltrami operatorelliptic problemparabolic problemoperator semigroup theorygeneral Wentzell boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45)

Related Items (13)

Stability estimates for nonlinear hyperbolic problems with nonlinear Wentzell boundary conditions ⋮ Geometrically constrained stabilization of wave equations with Wentzell boundary conditions ⋮ Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer ⋮ Wave equation with viscoelastic acoustic boundary conditions and supercritical source term ⋮ Heat equation with dynamical boundary conditions of reactive-diffusive type ⋮ Difference potentials method for models with dynamic boundary conditions and bulk-surface problems ⋮ Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions ⋮ Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions ⋮ Convergence of operator semigroups associated with generalised elliptic forms ⋮ Stability of parabolic problems with nonlinear Wentzell boundary conditions ⋮ Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions ⋮ Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable ⋮ Stability for a nonlinear hyperbolic equation with time-dependent coefficients and boundary damping

Cites Work

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• Derivation and physical interpretation of general boundary conditions
• Analyticity of semigroups generated by operators with generalized Wentzell boundary conditions
• Wellposedness for a parabolic-elliptic system
• One-Parameter Semigroups for Linear Evolution Equations
• Global existence for the heat equation with nonlinear dynamical boundary conditions

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