English

Inverse source problem for a hyperbolic equation by Carleman estimates

Analysis of PDEs 2025-06-17 v1

Abstract

In this article, we provide a modified argument for proving the conditional stability of inverse source problem for a hyperbolic equation. Our method does not require any extension of solution with respect to time and therefore simplifies the existing proofs, which is widely applicable to various evolution equations.

Keywords

Cite

@article{arxiv.2506.12703,
  title  = {Inverse source problem for a hyperbolic equation by Carleman estimates},
  author = {Suliang Si},
  journal= {arXiv preprint arXiv:2506.12703},
  year   = {2025}
}
R2 v1 2026-07-01T03:18:09.351Z