Arefinement of the Bukhgeim-Klibanov method
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917362863702016 |
|---|---|
| author | Si, Suliang |
| author_facet | Si, Suliang |
| contents | In this article, we improve the classical Bukhgeim-Klibanov method presented in [1],which can be used to prove the conditional stability of inverse source problem for a hyperbolic equation from the measurement on the subboundary. A major ingredient of our proof is a novel Carleman estimate. This inequality eliminates the need to extend the solution in time, therefore simplifies the existing proofs, which is widely applicable to various evolution equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25205 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Arefinement of the Bukhgeim-Klibanov method Si, Suliang Analysis of PDEs 35R30 In this article, we improve the classical Bukhgeim-Klibanov method presented in [1],which can be used to prove the conditional stability of inverse source problem for a hyperbolic equation from the measurement on the subboundary. A major ingredient of our proof is a novel Carleman estimate. This inequality eliminates the need to extend the solution in time, therefore simplifies the existing proofs, which is widely applicable to various evolution equations. |
| title | Arefinement of the Bukhgeim-Klibanov method |
| topic | Analysis of PDEs 35R30 |
| url | https://arxiv.org/abs/2603.25205 |