Inverse Problems for Hyperbolic Equations

zbMATH Open1125.35111arXiv1407.5233MaRDI QIDQ3596053

Gregory Eskin

Publication date: 29 August 2007

Abstract: We give a survey of author's results on the inverse hyperbolic problems with time-dependent and time-independent coefficients. We consider the case of hyperbolic equations with Yang-Mills potentials and the case of domains with obstacles. In particular, we gave a stability estimate for the broken X-ray transform in the case of one convex obstacle in $mathbb{R}^2$.

Full work available at URL: https://arxiv.org/abs/1407.5233

zbMATH Keywords

uniquenessDirichlet-to-Neumann mapcoefficient inverse problemYang-Mills potentials

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

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