Abstract
For a second order formally symmetric elliptic differential expression we show that the knowledge of the Dirichlet-to-Neumann map or Robin-to-Dirichlet map for suitably many energies on an arbitrarily small open subset of the boundary determines the self-adjoint operator with a Dirichlet boundary condition or with a (possibly non-self-adjoint) Robin boundary condition uniquely up to unitary equivalence. These results hold for general Lipschitz domains, which can be unbounded and may have a non-compact boundary, and under weak regularity assumptions on the coefficients of the differential expression.
Originalsprache | englisch |
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Aufsatznummer | 035009 |
Fachzeitschrift | Inverse Problems |
Jahrgang | 36 |
Ausgabenummer | 3 |
DOIs | |
Publikationsstatus | Veröffentlicht - 1 Jan. 2020 |
ASJC Scopus subject areas
- Theoretische Informatik
- Signalverarbeitung
- Angewandte Mathematik
- Angewandte Informatik
- Mathematische Physik