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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. Akad. Nauk SSSR Ser. Mat., 1968 Volume 32, Issue 4, Pages 743–755 (Mi im2488)
This article is cited in 16 papers

An energy inequality and the overdeterminacy property of a system of eigenfunctions

V. I. Plotnikov


Abstract: In this article we prove an energy inequality for the third boundary value problem (the parabolic case) and certain completeness and closure properties of the system of eigenfunctions.

UDC: 517.9

MSC: 35K85, 35Nxx, 35K20, 35P10, 35K50

Received: 19.09.1967


 English version: Mathematics of the USSR-Izvestiya, 1968, 2:4, 695–707

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