Global uniqueness and stability in determining the damping coefficient of an inverse hyperbolic problem with non-homogeneous Dirichlet B.C. through an additional localized Neumann boundary trace

DOI10.1080/00036811.2011.618125zbMath1248.35236arXiv1010.2696OpenAlexW1969727837WikidataQ58142917 ScholiaQ58142917MaRDI QIDQ2909380

Shitao Liu, Roberto Triggiani

Publication date: 30 August 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2696

zbMATH Keywords

stabilityinverse problemuniquenessCarleman estimate

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Inverse problems for PDEs (35R30) Second-order hyperbolic equations (35L10)

Related Items (6)

Recover all coefficients in second-order hyperbolic equations from finite sets of boundary measurements ^* ⋮ Inverse problem for structural acoustic interaction ⋮ Inverse Problem for a Linearized Jordan–Moore–Gibson–Thompson Equation ⋮ Global uniqueness and stability in determining the damping and potential coefficients of an inverse hyperbolic problem ⋮ Recovering of damping coefficients for a system of coupled wave equations with Neumann boundary conditions: uniqueness and stability ⋮ A control approach to recover the wave speed (conformal factor) from one measurement

Cites Work

• Global uniqueness and stability in determining the damping and potential coefficients of an inverse hyperbolic problem
• Uniform exponential energy decay of wave equations in a bounded region with \(L_ 2(0,\infty;L_ 2(\Gamma))\)-feedback control in the Dirichlet boundary conditions
• Exact boundary controllability on \(L_ 2(\Omega)\times H^{-1}(\Omega)\) of the wave equation with Dirichlet boundary control acting on a portion of the boundary \(\partial \Omega\), and related problems
• Exact controllability of the wave equation with Neumann boundary control
• A cosine operator approach to modeling \(L_ 2(\)0,T;\(L_ 2(\)Gammma))- boundary input hyperbolic equations
• Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
• Uniqueness and stability in multidimensional hyperbolic inverse problems
• GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
• Global Uniqueness and Stability in Determining the Damping Coefficient of an Inverse Hyperbolic Problem with NonHomogeneous Neumann B.C. through an Additional Dirichlet Boundary Trace
• Inverse problems for partial differential equations

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