M 511 oder M 643

Applying the two-operator approach, the mixed (Dirichlet-Neumann) BVP for a second-order scalar elliptic dierential equation with variable coecient is reduced to several systems of Boundary Domain Integral Equations, BDIEs. The two-operator BDIE system equivalence to the boundary value problem, BDIE solvability and invertibility of the boundary-domain integral operators are proved in the appropriate Sobolev spaces. The talk is based on papers [1, 2] and [3].

Herr Ass. Prof. Dr. Tsegaye Ayele

Universität von Addis Ababa