Abstract
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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