This article is cited in 2 scientific papers (total in 2 papers)
On the smoothness of the solutions of boundary value problems for parabolic and degenerate elliptic equations
V. I. Feigin
We investigate the question of smoothness for solutions of the first and second boundary problems for a class of degenerate equations (including, in particular, a parabolic equation) in domains with boundaries containing characteristic points.
In the case of tangency of higher degree of the boundary with a characteristic plane conditions are given which guarantee that the solution belongs to the space $H_p$.
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Mathematics of the USSR-Sbornik, 1970, 11:4, 507–528
MSC: 35B65, 35K20, 35J25, 35J70, 35B45, 35D05
Received: 10.06.1969 and 27.01.1970
V. I. Feigin, “On the smoothness of the solutions of boundary value problems for parabolic and degenerate elliptic equations”, Mat. Sb. (N.S.), 82(124):4(8) (1970), 551–573; Math. USSR-Sb., 11:4 (1970), 507–528
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\paper On~the smoothness of the solutions of boundary value problems for parabolic and degenerate elliptic equations
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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This publication is cited in the following articles:
V. N. Aref'ev, L. A. Bagirov, “Asymptotic behavior of solutions to the Dirichlet problem for parabolic equations in domains with singularities”, Math. Notes, 59:1 (1996), 10–17
V. N. Aref'ev, L. A. Bagirov, “Solutions of the heat equation in domains with singularities”, Math. Notes, 64:2 (1998), 139–153
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