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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1988 Volume 136(178), Number 3(7), Pages 384–395 (Mi sm1749)

This article is cited in 3 papers

Asymptotics as $t\to0$ for solutions of the heat equation in a domain with a conical point

V. A. Kozlov


Abstract: The Dirichlet problem is considered for a second-order parabolic equation in a domain with a conical point on the boundary. The right sides need not satisfy consistency conditions at the initial time. A complete asymptotic expansion as $t\to0$ is obtained; it is uniform with respect to the space variables.
Bibliography: 6 titles.

UDC: 517.9

MSC: 35K05, 35B40

Received: 07.03.1985 and 06.05.1987


 English version:
Mathematics of the USSR-Sbornik, 1989, 64:2, 383–395

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