Generalized Solutions of Nonlocal Elliptic Problems
نویسنده
چکیده
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 Wm 2 (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 Wm 2 (G) that satisfy homogeneous nonlocal conditions is proved.
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تاریخ انتشار 2005