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
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Publication:2909380
DOI10.1080/00036811.2011.618125zbMath1248.35236arXiv1010.2696OpenAlexW1969727837WikidataQ58142917 ScholiaQ58142917MaRDI QIDQ2909380
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
Optimality conditions for problems involving partial differential equations (49K20) Inverse problems for PDEs (35R30) Second-order hyperbolic equations (35L10)
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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
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- A cosine operator approach to modeling \(L_ 2(\)0,T;\(L_ 2(\)Gammma))- boundary input hyperbolic equations
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- 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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