On Positivity Sets for Helmholtz Solutions

Author:

Kow Pu-Zhao,Salo Mikko,Shahgholian HenrikORCID

Abstract

AbstractWe 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.

Funder

Royal Institute of Technology

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

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