Conjugate problems of elliptic differential and pseudodifferential boundary value problems in a bounded domain

A new class of boundary value problems for elliptic differential and pseudodifferential operators in spaces of generalized functions is studied.
An explicit form is obtained for boundary value problems conjugate to elliptic differential and pseudodifferential boundary value problems in generalized and smooth functions without restrictions on the boundary operators, which permits explicit description of conditions for solvability of the original elliptic problem.
Bibliography: 18 titles.