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

CHEN Qi; MA Yi-chen; YING Gen-jun; YANG Xiao-bin

CHEN Qi, MA Yi-chen, YING Gen-jun, YANG Xiao-bin. EXISTENCE,UNIQUENESS AND STABILITY OF INVERSE NEUMANN BOUNDARY VALUE PROBLEM OF POISSON EQUATION[J]. Chinese Journal of Computational Physics, 2001, 18(6): 531-538.

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

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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.

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

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