Generalized solutions of nonlocal elliptic problems
Gurevich, Pavel
Original · EN
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 W₂ᵐ(G) are studied. The Fredholm property of the unbounded operator corresponding to the elliptic equation, acting on L₂(G), and defined for functions from the space W₂ᵐ(G) that satisfy homogeneous nonlocal conditions is proved.
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