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}
}
  • Masaru Ikehata
  • Published 1999
  • Mathematics
  • Inverse Problems
  • 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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