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.
Local Hölder stabilities for Inverse Problems of first-order hyperbolic equations / Floridia, Giuseppe; Takase, Hiroshi. - (2025), pp. 143-157. - SPRINGER INDAM SERIES. [10.1007/978-981-96-6182-4_7].
Local Hölder stabilities for Inverse Problems of first-order hyperbolic equations
Giuseppe Floridia;
2025
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 Hölder stabilities for inverse source and coefficient problems via a Carleman estimate.File allegati a questo prodotto
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