Observability inequalities for the transmission of shallow shells

DOI10.1016/j.sysconle.2006.02.004zbMath1100.93004OpenAlexW1981368710MaRDI QIDQ2433412

Shugen Chai, Kangsheng Liu

Publication date: 27 October 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2006.02.004

zbMATH Keywords

transmissionobservability inequalityshallow shell

Mathematics Subject Classification ID

Observability (93B07)

Related Items (12)

Controllability for transmission wave/plate equations on Riemannian manifolds ⋮ Weighted \(L^2\)-estimates of solutions for damped wave equations with variable coefficients ⋮ Global smooth solutions for the quasilinear wave equation with boundary dissipation ⋮ Control and stabilization for the wave equation with variable coefficients in domains with moving boundary ⋮ Higher order energy decay for damped wave equations with variable coefficients ⋮ Stabilization of the wave equation with variable coefficients and a delay in dissipative boundary feedback ⋮ Boundary controllability for the quasilinear wave equation ⋮ Stabilization of the wave equation with variable coefficients and a delay in dissipative internal feedback ⋮ Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation ⋮ Uniqueness in the Cauchy problem for the Koiter shell ⋮ Exponential stability of the nonlinear Schrödinger equation with locally distributed damping on compact Riemannian manifold ⋮ Exact Controllability of Structural Acoustic Interactions with Variable Coefficients

Cites Work

• Observability inequalities for thin shells
• An existence theorem for a class of nonlinear shallow shell problems
• Existence theorems for two-dimensional linear shell theories
• Uniform stabilization of a shallow shell model with nonlinear boundary feedbacks
• Sobolev spaces on Riemannian manifolds
• A boundary differential equation for thin shells
• Uniform stabilization of spherical shells by boundary dissipation
• Tangential differential equations for dynamical thin/shallow shells
• Uniform boundary stabilization of a nonlinear shallow and thin elastic spherical cap
• Boundary controllability in problems of transmission for a class of second order hyperbolic systems
• Boundary Feedback Stabilization of Shallow Shells
• Exact controllability for problems of transmission of the plate equation with lower-order terms
• Observability Inequalities for Shallow Shells
• Stabilization and controllability for the transmission wave equation
• On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
• Exact boundary controllability of the plate equation
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