On positivity sets for Helmholtz solutions
arXiv:2301.04965 · doi:10.1007/s10013-023-00646-y
Abstract
We address the question of finding global solutions of the Helmholtz equation that are positive in a given set. This question arises in inverse scattering for penetrable obstacles. In particular, we show that there are solutions that are positive on the boundary of a bounded Lipschitz domain.
10 pages