Abstract
An elliptic equation of order 2m with general nonlocal boundary-value conditions, in a plane bounded domain G with piecewise smooth boundary, is considered. Generalized solutions belonging to the Sobolev space W 2 m (G) are studied. The Fredholm property of the unbounded operator (corresponding to the elliptic equation) acting on L 2(G), and defined for functions from the space W 2 m (G) that satisfy homogeneous nonlocal conditions, is established.
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