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arXiv · 2207.10344

Local H\"older stabilities for inverse problems of first-order hyperbolic equations

Giuseppe Floridia·Hiroshi Takase
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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.

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Giuseppe Floridia, Hiroshi Takase. 2022-07-21. Local H\"older stabilities for inverse problems of first-order hyperbolic equations. https://doi.org/10.1007/978-981-96-6182-4_7

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