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arXiv · 1607.08256

A new approach for the strong unique continuation of electromagnetic Schroedinger operator with complex-valued coefficient

Xiaojun Lu·Xiaofen Lv
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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.

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Xiaojun Lu, Xiaofen Lv. 2016-07-22. A new approach for the strong unique continuation of electromagnetic Schroedinger operator with complex-valued coefficient. https://arxiv.org/abs/1607.08256

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