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EXISTENCE,UNIQUENESS AND STABILITY OF INVERSE NEUMANN BOUNDARY VALUE PROBLEM OF POISSON EQUATION
CHEN Qi, MA Yi-chen, YING Gen-jun, YANG Xiao-bin
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
2001, 18 (6):
531-538.
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.
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