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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1969 Volume 33, Issue 1, Pages 109–137 (Mi im2125)

This article is cited in 4 papers

Green function properties and generalized solutions of elliptic boundary value problems

Yu. P. Krasovskii


Abstract: We consider the properties of the Green functions of general boundary value problems for elliptic equations and the properties following from them of the adjoints of the resolvents. The results obtained are used to study generalized solutions. We prove existence and estimate theorems for generalized solutions in spaces that are the negatives of Höder spaces.

UDC: 517.9

MSC: 35J25, 35D05

Received: 13.02.1968


 English version:
Mathematics of the USSR-Izvestiya, 1969, 3:1, 105–130

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