Inverse problems for quadratic derivative nonlinear wave equations
Analysis of PDEs
2016-12-15 v1
Abstract
For semilinear wave equations on Lorentzian manifolds with quadratic derivative non-linear terms, we study the inverse problem of determining the background Lorentzian metric. Under some conditions on the nonlinear term, we show that from the source-to-solution map, one can determine the Lorentzian metric up to diffeomorphisms.
Cite
@article{arxiv.1612.04437,
title = {Inverse problems for quadratic derivative nonlinear wave equations},
author = {Yiran Wang and Ting Zhou},
journal= {arXiv preprint arXiv:1612.04437},
year = {2016}
}