Optimal Runge approximation for damped nonlocal wave equations and simultaneous determination results
Analysis of PDEs
2024-12-04 v1
Abstract
The main purpose of this article is to establish new uniqueness results for Calder\'on type inverse problems related to damped nonlocal wave equations. To achieve this goal we extend the theory of very weak solutions to our setting, which allows to deduce an optimal Runge approximation theorem. With this result at our disposal, we can prove simultaneous determination results in the linear and semilinear regime.
Cite
@article{arxiv.2412.02046,
title = {Optimal Runge approximation for damped nonlocal wave equations and simultaneous determination results},
author = {Philipp Zimmermann},
journal= {arXiv preprint arXiv:2412.02046},
year = {2024}
}
Comments
21 pages