On an inverse boundary value problem for a nonlinear elastic wave equation
Analysis of PDEs
2021-01-15 v3
Abstract
We consider an inverse boundary value problem for a nonlinear elastic wave equation which was studied in [de Hoop, Uhlmann, Wang. Math. Ann. (2019) doi:10.1007/s00208-018-01796-y]. We show that all the parameters appearing in the equation can be uniquely determined from boundary measurements under certain geometric assumptions. The proof is based on second order linearization and Gaussian beams.
Cite
@article{arxiv.1912.11756,
title = {On an inverse boundary value problem for a nonlinear elastic wave equation},
author = {Gunther Uhlmann and Jian Zhai},
journal= {arXiv preprint arXiv:1912.11756},
year = {2021}
}