Abstract
In this paper we give, for the first time, an abstract interpretation of such boundary value problems for elliptic equations of the second order that a part of boundary value conditions contains also a differentiation of the second order. Boundary value problems for elliptic equations are reduced to the boundary value problem for a system of differential- operator equations (see below problem (1)− (3)). A solution of this system is not a vector- function but one function. At the same time, the system is not overdetermined. Boundary value problems for elliptic equations (see section 3), which we consider in this paper, do not satisfy the Lopatinskii condition (so, the problems are irregular) since the tangent derivative is given on the domain boundary.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
