This article is cited in 6 papers

On boundary and initial conditions in $\mathscr L_p$, $p>1$, of solutions of parabolic equations

I. M. Petrushko


Abstract: Necessary and sufficient conditions on the solutions of parabolic equations in a cylinder are established for the existence of limits in $\mathscr L_p$ on the lateral surface of the cylinder and in $\mathscr L_p$ with a weight on its lower base.
Bibliography: 9 titles.

UDC: 517.95

MSC: Primary 35B99, 35K15, 35K20; Secondary 46E35

Received: 25.11.1983

 English version: Mathematics of the USSR-Sbornik, 1986, 53:2, 489–522

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