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The Dirichlet to Neumann map - An application to the Stokes problem
in half space
We illustrate the use of the Dirichlet to Neumann map for elliptic and parabolic
problems in the context of the Stokes problems. An analogous representation to that
obtained by Solonnikov in  for the case of a sphere is given for the half space problem.
The validity of this representation is obtained establishing properties of the
$\DtN$ map for the Laplace and Heat operators.