Geodesic
Asymptotics as $t\to0$ for solutions of the heat equation in a domain
Sbornik. Mathematics, Tome 64 (1989) no. 2, pp. 383-395

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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. 
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     author = {V. A. Kozlov},
     title = {Asymptotics as $t\to0$ for solutions of the heat equation in a domain},
     journal = {Sbornik. Mathematics},
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     volume = {64},
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     year = {1989},
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     url = {http://geodesic.mathdoc.fr/item/SM_1989_64_2_a6/}
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V. A. Kozlov. Asymptotics as $t\to0$ for solutions of the heat equation in a domain. Sbornik. Mathematics, Tome 64 (1989) no. 2, pp. 383-395. http://geodesic.mathdoc.fr/item/SM_1989_64_2_a6/