A new approach for the strong unique continuation of electromagnetic Schroedinger operator with complex-valued coefficient
Mathematical Physics
2016-07-29 v1 math.MP
Optimization and Control
Abstract
This paper mainly addresses the strong unique continuation property for the electromagnetic Schr\"{o}dinger operator with complex-valued coefficients. Appropriate multipliers with physical backgrounds have been introduced to prove a priori estimates. Moreover, its application in an exact controllability problem has been shown, in which case, the boundary value determines the interior value completely.
Keywords
Cite
@article{arxiv.1607.08256,
title = {A new approach for the strong unique continuation of electromagnetic Schroedinger operator with complex-valued coefficient},
author = {Xiaojun Lu and Xiaofen Lv},
journal= {arXiv preprint arXiv:1607.08256},
year = {2016}
}
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17 pages, 0 figure