The Dirichlet to Neumann map - An application to the Stokes problemin half space
Ihsane Bikri, Ronald B. Guenther, Enrique Thomann · Discrete and Continuous Dynamical Systems - S · 2010
We illustrate the use of the Dirichlet to Neumann map for elliptic and parabolicproblems in the context of the Stokes problems. An analogous representation to thatobtained by Solonnikov in [5] 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.