Local H\"older stabilities for inverse problems of first-order hyperbolic equations
Analysis of PDEs
2025-10-13 v1
Abstract
In this paper, we consider a Cauchy problem for a first-order hyperbolic equation with time-dependent coefficients. Cauchy data are given on a lateral subboundary and we obtain local H\"older stabilities for inverse source and coefficient problems via a Carleman estimate.
Keywords
Cite
@article{arxiv.2207.10344,
title = {Local H\"older stabilities for inverse problems of first-order hyperbolic equations},
author = {Giuseppe Floridia and Hiroshi Takase},
journal= {arXiv preprint arXiv:2207.10344},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2009.12039