IMI/Publicaţii/BASM/Ediţii/BASM n.1 (11), 1993/

Existence of limiting boundary and initial values of weak solutions of parabolic equation. (Russian)

Authors: Zhitarashu N. V.


Theorems on existence of limit values of the derivatives in the normal direction $\nu$ to $S$, $D^{k-1}_{\nu}u$ on $S$ and the limit values when $t=0$ of derivatives $D^{\lambda -1}_t u$ in the Sobolev--Slobodetskii spaces are proven for weak solutions (distributions) $u(x,t)$ of the linear parabolic equations in the boundet cylindrical domain $\Omega = G\times (0,T)$, $S=\partial G\times (0,t)$.

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