Regularity and stability of wave equations with variable coefficients and Wentzell type boundary conditions
From MaRDI portal
Publication:6048562
DOI10.1016/j.jde.2023.07.038zbMath1526.35065MaRDI QIDQ6048562
Ti-Jun Xiao, Jin Liang, Chan Li
Publication date: 11 October 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
stabilitywave equationvariable coefficientRiemannian geometry methodlack of interior dampingWentzell (Ventcel)-type boundary condition
Control, switches and devices (``smart materials) in solid mechanics (74M05) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) 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) Higher-order hyperbolic equations (35L25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parabolic approximation of damped wave equations via fractional powers: fast growing nonlinearities and continuity of the dynamics
- Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions
- Uniform stabilization of the damped Cauchy--Ventcel problem with variable coefficients and dynamic boundary conditions
- Optimal polynomial decay of functions and operator semigroups
- Stability of parabolic problems with nonlinear Wentzell boundary conditions
- On exponential stability of a semilinear wave equation with variable coefficients under the nonlinear boundary feedback
- Stabilization of a hybrid system of elasticity by feedback boundary damping
- A solution to an open problem for wave equations with generalized Wentzell boundary conditions
- Some nonlinear wave equations with acoustic boundary conditions
- Boundary controllability of structural acoustic systems with variable coefficients and curved walls
- On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sources
- Boundary stabilization for wave equations with damping only on the nonlinear Wentzell boundary
- Generalized Wentzell boundary conditions and quantum field theory
- Time asymptotics of structured populations with diffusion and dynamic boundary conditions
- Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions
- On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation
- Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping
- Maximal regularity, analytic semigroups, and dynamic and general Wentzell boundary conditions with a diffusion term on the boundary
- Asymptotics for wave equations with Wentzell boundary conditions and boundary damping
- Stabilization of the wave equation with Ventcel boundary condition
- Continuous dependence in hyperbolic problems with Wentzell boundary conditions
- Second order differential operators with Feller-Wentzell type boundary conditions
- Derivation and physical interpretation of general boundary conditions
- The parabolic differential equations and the associated semigroups of transformation
- Stabilisation frontière de problèmes de Ventcel
- Exact Controllability of Structural Acoustic Interactions with Variable Coefficients
- Geometrically constrained stabilization of wave equations with Wentzell boundary conditions
- The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions I: Strong Stability
- The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions II: Polynomial Stability
- Polynomial stabiization of the wave equation with Ventcel's boundary conditions
- One-Parameter Semigroups for Linear Evolution Equations
- A New Method to Obtain Uniform Decay Rates for Multidimensional Wave Equations with Nonlinear Acoustic Boundary Conditions
- The non-autonomous wave equation with general Wentzell boundary conditions
- On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
- Global Smooth Solutions and Exponential Stability for a Nonlinear Beam
- Approximation theorems for the propagators of higher order abstract Cauchy problems