Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides
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Publication:5061579
DOI10.3233/ASY-211699MaRDI QIDQ5061579
Publication date: 14 March 2022
Published in: Asymptotic Analysis (Search for Journal in Brave)
Fourier analysisuniqueness theoremasymptotic synchronizationcoupled system of wave equationsKalman's rank condition
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Spectral theory and eigenvalue problems for partial differential equations (35P99) Observability (93B07) Overdetermined systems of PDEs with variable coefficients (35N10) Geometric optics (78A05) Second-order elliptic systems (35J47) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Algebraic Conditions to the Uniqueness Theorem for a Coupled System of Wave Equations, D-Observability for a Coupled System of Wave Equations on Right Angle Triangles, Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems. II: case of multiple feedback dampings
Cites Work
- Unnamed Item
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- Uniqueness theorem for partially observed elliptic systems and application to asymptotic synchronization
- Semigroups of linear operators and applications to partial differential equations
- Diophantine approximation
- Global existence and stability of a class of nonlinear evolution equations with hereditary memory and variable density
- Influence of the hidden regularity on the stability of partially damped systems of wave equations
- Asymptotic behavior of nonlinear contraction semigroups
- Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients
- Criteria of Kalman's Type to the Approximate Controllability and the Approximate Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls
- Unique continuation for elliptic operators: A geometric-variational approach
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Fourier Series in Control Theory
- Stabilization of Kirchhoff plate equation in star-shaped domain by nonlinear boundary feedback
- Boundary Synchronization for Hyperbolic Systems
- Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls
- Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems
- DYNAMIC PROPERTIES FOR NONLINEAR VISCOELASTIC KIRCHHOFF-TYPE EQUATION WITH ACOUSTIC CONTROL BOUNDARY CONDITIONS Ⅱ
- ORBITAL STABILITY OF PERIODIC TRAVELING WAVE SOLUTIONS TO THE GENERALIZED LONG-SHORT WAVE EQUATIONS