Local Hölder stabilities for inverse problems of first-order hyperbolic equations

Fuente: arXiv
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Hauptverfasser: Floridia, Giuseppe, Takase, Hiroshi
Format: Preprint
Veröffentlicht: 2022
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author Floridia, Giuseppe
Takase, Hiroshi
author_facet Floridia, Giuseppe
Takase, Hiroshi
contents 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 Hölder stabilities for inverse source and coefficient problems via a Carleman estimate.
format Preprint
id arxiv_https___arxiv_org_abs_2207_10344
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Local Hölder stabilities for inverse problems of first-order hyperbolic equations
Floridia, Giuseppe
Takase, Hiroshi
Analysis of PDEs
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 Hölder stabilities for inverse source and coefficient problems via a Carleman estimate.
title Local Hölder stabilities for inverse problems of first-order hyperbolic equations
topic Analysis of PDEs
url https://arxiv.org/abs/2207.10344