Stability of parabolic problems with nonlinear Wentzell boundary conditions
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Publication:1011475
DOI10.1016/j.jde.2008.10.004zbMath1169.35005OpenAlexW2086031489MaRDI QIDQ1011475
Jerome A. Goldstein, Giuseppe Maria Coclite, Gisèle R. Goldstein
Publication date: 8 April 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2008.10.004
Semigroups of nonlinear operators (47H20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35)
Related Items (19)
A parabolic inverse source problem with a dynamical boundary condition ⋮ Stability estimates for nonlinear hyperbolic problems with nonlinear Wentzell boundary conditions ⋮ Uniform stabilization of wave equation with localized damping and acoustic boundary condition ⋮ Classical solutions to quasilinear parabolic problems with dynamic boundary conditions ⋮ Geometrically constrained stabilization of wave equations with Wentzell boundary conditions ⋮ Boundary stabilization for wave equations with damping only on the nonlinear Wentzell boundary ⋮ Wave equation with viscoelastic acoustic boundary conditions and supercritical source term ⋮ Regularity and stability of wave equations with variable coefficients and Wentzell type boundary conditions ⋮ Uniform stabilisation of a thermoelastic system with static Wentzell conditions ⋮ Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions ⋮ Regularity and well-posedness of some quasi-linear elliptic and parabolic problems with nonlinear general Wentzell boundary conditions on nonsmooth domains ⋮ Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping ⋮ Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions ⋮ Uniform stabilization of semilinear wave equations with localized internal damping and dynamic Wentzell boundary conditions with a memory term ⋮ Inverse source problem for heat equation with nonlocal Wentzell boundary condition ⋮ Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions ⋮ An inverse problem for finding the lowest term of a heat equation with Wentzell–Neumann boundary condition ⋮ 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
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