Hyperbolic inverse boundary-value problem and time-continuation of the non-stationary Dirichlet-to-Neumann map
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Publication:4796421
DOI10.1017/S0308210500001943zbMath1034.35152OpenAlexW2169399203MaRDI QIDQ4796421
Yaroslav Kurylev, Matti Lassas
Publication date: 2002
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210500001943
Inverse problems for PDEs (35R30) Boundary value problems on manifolds (58J32) Initial value problems for second-order hyperbolic equations (35L15)
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Maxwell's equations with a polarization independent wave velocity: direct and inverse problems ⋮ Inverse problems for general second order hyperbolic equations with time-dependent coefficients ⋮ Recover all coefficients in second-order hyperbolic equations from finite sets of boundary measurements * ⋮ Gelfand's inverse problem for the graph Laplacian ⋮ Unique continuation for the elastic transversely isotropic dynamical systems and its application ⋮ Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces ⋮ Stable Determination of a Simple Metric, a Covector Field and a Potential from the Hyperbolic Dirichlet-to-Neumann Map ⋮ Forward and inverse scattering on manifolds with asymptotically cylindrical ends ⋮ Inverse Hyperbolic Problems with Time-Dependent Coefficients ⋮ Wave Phenomena ⋮ Unique Recovery of Piecewise Analytic Density and Stiffness Tensor from the Elastic-Wave Dirichlet-To-Neumann Map ⋮ Conditional Stability for the Hexagonal Anisotropic Elastic Dynamical Systems
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