Solvability of Boundary Value Problems for Operator-Differential Equations of Mixed Type: The Degenerate Case

We obtain some results on solvability of boundary value problems for the equation B u _t –L u =f (t(0,)), where B and L are selfadjoint and dissipative operators defined in a Hilbert space E. The kernel of B may be nontrivial and L is uniformly dissipative on a subspace M of finite codimension.