# Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data

@article{Ikehata1999EnclosingAP, title={Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data}, author={Masaru Ikehata}, journal={Inverse Problems}, year={1999}, volume={15}, pages={1231-1241} }

We consider a reconstruction problem of the shape of an unknown open set D in a two-dimensional bounded domain from the Cauchy data on of a nonconstant solution u of the equation u = 0 in \ D. We assume that the Neumann derivative of u vanishes on D and that D is a convex open polygon. We give a formula for the calculation of the support function of D from such data.

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