ASYMPTOTICS AS $ t\to0$ OF SOLUTIONS OF THE HEAT EQUATION IN A DOMAIN WITH A CONICAL POINT
Vladimir Arkad'evich Kozlov · Mathematics of the USSR-Sbornik · 1989
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 is obtained; it is uniform with respect to the space variables.Bibliography: 6 titles.