Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (6): 1435-1439.

• Articles • Previous Articles     Next Articles

New Proof of Rellich Lemma

 Basang Tsering-xiao   

  1. Mathematical Department, School of Science, Tibet University, Lhasa 850000
  • Received:2013-05-21 Revised:2013-11-28 Online:2014-12-25 Published:2014-12-25
  • Supported by:

    西藏大学青年科研培育基金(ZDPJZK201201)资助.

Abstract:

Rellich Lemma is a very important part of the electromagnetic related inverse problems theory, and this paper gives a new proof of Rellich Lemma. The proof is much simpler and it mainly uses fundamental theory of ordinary differential equations and unique continuation theory. We studied the properties of the solutions of Helmholtz equation through the proof.

Key words: Uniqueness, Unique continuation, Radiation condition

CLC Number: 

  • 60F15
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