Local Hölder stabilities for inverse problems of first-order hyperbolic equations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866908585290629120 |
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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 |