You can use the Dirichlet-to-Neumann operator associated with an unknown elliptic operator to reconstruct the coefficient of the operator and consequently the structure of the inside of the domain. It’s a problem proposed by Calderon and is well understood for the Laplacian. Good luck with the Stokes operator tomorrow though.
You can use the Dirichlet-to-Neumann operator associated with an unknown elliptic operator to reconstruct the coefficient of the operator and consequently the structure of the inside of the domain. It’s a problem proposed by Calderon and is well understood for the Laplacian. Good luck with the Stokes operator tomorrow though.