Recovery of Nonsmooth Coefficients Appearing in Anisotropic Wave Equations
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Publication:5205263
DOI10.1137/19M1251394zbMath1428.35678arXiv1903.08118WikidataQ126530592 ScholiaQ126530592MaRDI QIDQ5205263
Publication date: 11 December 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.08118
inverse problemstime-dependent coefficientsDirichlet to Neumann mapmagnetic potentiallight ray transformnonsmooth parameterssimple manifolds
Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Hyperbolic equations on manifolds (58J45) PDEs on manifolds (35R01)
Related Items (5)
Global recovery of a time-dependent coefficient for the wave equation from a single measurement ⋮ A uniqueness result for light ray transform on symmetric 2-tensor fields ⋮ Construction of Artificial Point Sources for a Linear Wave Equation in Unknown Medium ⋮ The light ray transform in stationary and static Lorentzian geometries ⋮ A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem
Cites Work
- Unnamed Item
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- Uniqueness in Calderón's problem for conductivities with unbounded gradient
- Stable determination outside a cloaking region of two time-dependent coefficients in an hyperbolic equation from Dirichlet to Neumann map
- Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map
- Completeness of products of solutions and some inverse problems for PDE
- An inverse problem for the wave equation
- Non-unicité du problème de Cauchy
- Non homogeneous boundary value problems for second order hyperbolic operators
- Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials
- Stability estimates for the hyperbolic Dirichlet to Neumann map in anisotropic media
- On uniqueness in inverse problems for semilinear parabolic equations
- Inverse problems for the connection Laplacian
- The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds
- Determination of singular time-dependent coefficients for wave equations from full and partial data
- Inverse problems for general second order hyperbolic equations with time-dependent coefficients
- 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
- Integral geometry for tensor fields. Transl. from the Russian
- A non uniqueness result for operators of principal type
- Uniqueness in Calderón's problem with Lipschitz conductivities
- Recovery of time-dependent coefficients from boundary data for hyperbolic equations
- Application of the boundary control method to partial data Borg-Levinson inverse spectral problem
- Unique determination of a time-dependent potential for wave equations from partial data
- Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential
- Calderón's inverse conductivity problem in the plane
- Fourier integral operators. I
- UNIQUENESS OF RECOVERY OF SOME QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS
- Recovery of Time-Dependent Damping Coefficients and Potentials Appearing in Wave Equations from Partial Data
- Stable Determination of X-Ray Transforms of Time Dependent Potentials from Partial Boundary Data
- Lipschitz stability for a hyperbolic inverse problem by finite local boundary data
- A Lipschitz stable reconstruction formula for the inverse problem for the wave equation
- Stability estimate for a hyperbolic inverse problem with time-dependent coefficient
- GLOBAL UNIQUENESS FOR THE CALDERÓN PROBLEM WITH LIPSCHITZ CONDUCTIVITIES
- An inverse problem for a wave equation with sources and observations on disjoint sets
- To the reconstruction of a riemannian manifold via its spectral data (Bc–Method)
- Hölder Stably Determining the Time-Dependent Electromagnetic Potential of the Schrödinger Equation
- Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
- Sharp stability estimate for the geodesic ray transform
- Recent progress in the boundary control method
- Inverse Hyperbolic Problems with Time-Dependent Coefficients
- A new approach to hyperbolic inverse problems
- Determination of time-dependent coefficients for a hyperbolic inverse problem
- Recovery of Time-Dependent Coefficient on Riemannian Manifold for Hyperbolic Equations
- Stability of the unique continuation for the wave operator via Tataru inequality and applications
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