Recovery of Time-Dependent Damping Coefficients and Potentials Appearing in Wave Equations from Partial Data
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Publication:2836025
DOI10.1137/16M1076708zbMath1351.35262arXiv1603.09600OpenAlexW2329091197MaRDI QIDQ2836025
Publication date: 7 December 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.09600
wave equationuniquenessinverse problemsCarleman estimatestime-dependent potentialpartial datatime-dependent damping coefficient
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The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds ⋮ An inverse problem for a quasilinear convection-diffusion equation ⋮ Support theorem for the light-ray transform of vector fields on Minkowski spaces ⋮ Determination of singular time-dependent coefficients for wave equations from full and partial data ⋮ A uniqueness result for light ray transform on symmetric 2-tensor fields ⋮ Inverse Scattering Problem for Linear System of Four-Wave Interaction Problem on the Half-Line with a General Boundary Condition ⋮ Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements ⋮ RECOVERY OF NON-COMPACTLY SUPPORTED COEFFICIENTS OF ELLIPTIC EQUATIONS ON AN INFINITE WAVEGUIDE ⋮ Hölder Stably Determining the Time-Dependent Electromagnetic Potential of the Schrödinger Equation ⋮ An inverse problem for the relativistic Schrödinger equation with partial boundary data ⋮ Stability estimates for the relativistic Schrödinger equation from partial boundary data ⋮ Inverse Initial Boundary Value Problem for a Non-linear Hyperbolic Partial Differential Equation ⋮ Logarithmic stability in determining the time-dependent zero order coefficient in a parabolic equation from a partial Dirichlet-to-Neumann map. application to the determination of a nonlinear term ⋮ Recovery of Nonsmooth Coefficients Appearing in Anisotropic Wave Equations ⋮ A partial data inverse problem for the convection-diffusion equation ⋮ A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem ⋮ Determination of non-compactly supported electromagnetic potentials in an unbounded closed waveguide ⋮ Stability estimate for a partial data inverse problem for the convection-diffusion equation ⋮ Recovery of Time-Dependent Coefficient on Riemannian Manifold for Hyperbolic Equations ⋮ Determining the time-dependent matrix potential in a wave equation from partial boundary data ⋮ Stability for a Formally Determined Inverse Problem for a Hyperbolic PDE with Space and Time Dependent Coefficients
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