On geometric inverse problems and microlocal analysis

Mikko Salo

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arXiv · 2312.08123

On geometric inverse problems and microlocal analysis

Mikko Salo

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Abstract

This work gives an expository account of certain applications of microlocal analysis in three geometric inverse problems. We will discuss the geodesic X-ray transform inverse problem, the Gelfand problem for the wave equation on a Riemannian manifold, and the Calder\'on problem for the Laplace equation on a Riemannian manifold.

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Mikko Salo. 2023-12-13. On geometric inverse problems and microlocal analysis. https://arxiv.org/abs/2312.08123

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