ABSTRACT
To derive the increasing stability of the source term in the Helmholtz equation from local boundary data, we utilize sharp bounds of the analytic continuation for higher wave numbers, the Huygens' principle, and bounds in the lateral Cauchy problem for the wave equation.
2010 Mathematics Subject Classification:
Acknowledgments
This research is supported in part by the Emylou Keith and Betty Dutcher Distinguished Professorship and the NSF grant DMS 15-14886.
Disclosure statement
No potential conflict of interest was reported by the author(s).