Introduction to inverse problems for hyperbolic PDEs

Name: Introduction to inverse problems for hyperbolic PDEs
Keywords: Mathematics - Analysis of PDEs, 35R30, FOS: Mathematics, Analysis of PDEs (math.AP)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2023Embargo end date: 01 Jan 2023Publisher:arXiv

Authors: Nursultanov, Medet; Oksanen, Lauri;

doi: 10.48550/arxiv.2311.06020

arXiv: http://arxiv.org/abs/2311.06020

Introduction to inverse problems for hyperbolic PDEs

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Abstract

There are two main approaches to solve inverse coefficient determination problems for wave equations: the Boundary Control method and an approach based on geometric optics. These notes focus on the Boundary Control method, but we will have a brief look at the geometric optics as well.

These lecture notes were written for CIRM SMF School Spectral Theory, Control and Inverse Problems, November 2022

Keywords

Mathematics - Analysis of PDEs, 35R30, FOS: Mathematics, Analysis of PDEs (math.AP)

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