Decay rates of the hyperbolic equation in an exterior domain with half-linear and nonlinear boundary dissipations
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Publication:328211
DOI10.1007/S11424-015-4233-7zbMath1346.93199OpenAlexW2340211848MaRDI QIDQ328211
Jing Li, Yu-Xiang Liu, Peng-Fei Yao
Publication date: 20 October 2016
Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11424-015-4233-7
Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Geometric methods (93B27)
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Cites Work
- Unnamed Item
- Unnamed Item
- Energy decay for a nonlinear generalized Klein-Gordon equation in exterior domains with a nonlinear localized dissipative term
- Energy decay and periodic solution for the wave equation in an exterior domain with half-linear and nonlinear boundary dissipations
- Uniform stabilization of the damped Cauchy--Ventcel problem with variable coefficients and dynamic boundary conditions
- Boundary controllability for the quasilinear wave equation
- On exponential stability of a semilinear wave equation with variable coefficients under the nonlinear boundary feedback
- Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
- Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation
- Energy decay of the wave equation with variable coefficients and a localized half-linear dissipation in an exterior domain
- Global smooth solutions for the quasilinear wave equation with boundary dissipation
- Nonlinear internal damping of wave equations with variable coefficients
- Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
- Uniform decay rates for second-order hyperbolic equations with variable coefficients
- Exact Controllability, Stabilization and Perturbations for Distributed Systems
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Uniform energy decay of Schrodinger equations with variable coefficients
- On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
- Global solvability and uniform decays of solutions to quaslinear equation with nonlinear boundary dissipation
- TheXsθspaces and unique continuation for solutions to the semilinear wave equation
- Critical exponent for a nonlinear wave equation with damping
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