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arXiv:1404.5152 [math.AP]AbstractReferencesReviewsResources

Smoothness of generalized solutions for nonlocal elliptic problems on the plane

Pavel Gurevich

Published 2014-04-21Version 1

We study smoothness of generalized solutions of nonlocal elliptic problems in plane bounded domains with piecewise smooth boundary. The case where the support of nonlocal terms can intersect the boundary is considered. We announce conditions that are necessary and sufficient for any generalized solution to possess an appropriate smoothness (in terms of Sobolev spaces). The proofs are given in the forthcoming paper.

Comments: 6 pages
Journal: Dokl. Akad. Nauk. 398, No 3 (2004), 295-299; English transl. in Russian Acad. Sci. Dokl. Math. 70 (2004), 714-718
Categories: math.AP
Subjects: 35J25, 35D99, 35B65
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