Inverse problem of recovering the time-dependent damping and nonlinear terms for wave equations
Analysis of PDEs
2022-12-08 v2
Abstract
In this paper, we consider the inverse boundary problems of recovering the time-dependent nonlinearity and damping term for a semilinear wave equation on a Riemannian manifold. The Carleman estimate and the construction of Gaussian beams together with the higher order linearization are respectively used to derive the uniqueness results of recovering the coefficients.
Keywords
Cite
@article{arxiv.2212.01815,
title = {Inverse problem of recovering the time-dependent damping and nonlinear terms for wave equations},
author = {Song-Ren Fu},
journal= {arXiv preprint arXiv:2212.01815},
year = {2022}
}