(2) Green's functions were constructed and studied for general elliptic boundary-va lue problems ( BeRI]- Ber3], Kovl], and Kov2]). (3) Generalized eigenfunctions, spectral function, etc., were investigated in spectral theory Ber]. (4) Elliptic boundary-value problems with arbitrary power singularities on the right hand sides were investigated ( Roi6], Kos2, ] and Ser)). (5) A family of elliptic problems was studied in a family of expanding domains; the obtained results were applied to the investigation of elliptic problems with time deriva tives in the boundary conditions and parabolic...

The present monograph is devoted to the theory of the solvability in generalized functions of general boundary value problems of mathematieal physies. It is the eontinuation of the author's book Rl], where elliptic boundary value problems have been studied in eomplete seales of spaees of generalized funetions. From the early sixties, in the works of Lions and Magenes LiM] and Yu. Berezanskii, S. Krein and Va. Roitberg BKR] the theorems on eomplete eolleetion of isomorphisms have been established. These theorems, roughly speaking, mean that the operator generated by an elliptie boundary...