CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2001, Vol. 18 ›› Issue (6): 531-538.

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EXISTENCE,UNIQUENESS AND STABILITY OF INVERSE NEUMANN BOUNDARY VALUE PROBLEM OF POISSON EQUATION

CHEN Qi1, MA Yi-chen1, YING Gen-jun1, YANG Xiao-bin2   

  1. 1. Science College of Xi'an Jiao Tong University, Xi'an 710049, P R China;
    2. Department of Mathematics, Shanghai Financial and Economic University, Shanghai 200083, P R China
  • Received:2001-01-17 Revised:2001-06-08 Online:2001-11-25 Published:2001-11-25
  • Supported by:
    Supported by the National Natural Foundation of China(10001028)

Abstract: Results of existence,uniqueness and stability recovering the domain from a measured data of Poisson equation are obtained.The results of determining the shape of unknown domain are proven with Sobolev theory and the fundamental solution of Poisson equation.

Key words: domain identification, fundamental solution, Poisson equation

CLC Number: