Inverse Problems for Hyperbolic Equations

Gregory Eskin

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arXiv · 1407.5233

Inverse Problems for Hyperbolic Equations

Gregory Eskin

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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 $\mathbb{R}^2$.

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Gregory Eskin. 2014-07-20. Inverse Problems for Hyperbolic Equations. https://arxiv.org/abs/1407.5233

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