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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1977 Volume 103(145), Number 3(7), Pages 404–429 (Mi sm2915)

This article is cited in 2 papers

On the boundary values of solutions of parabolic equations

I. M. Petrushko


Abstract: Necessary and sufficient conditions are established for a solution of a second order parabolic equation in a cylinder with smooth lateral boundary to have a limit in the mean on the lateral surface.
Bibliography: 2 titles.

UDC: 517.9

MSC: 35K20, 35B40

Received: 11.01.1977


 English version:
Mathematics of the USSR-Sbornik, 1977, 32:3, 347–370

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