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This article is cited in 6 scientific papers (total 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.
Received: 25.11.1983
Citation:
I. M. Petrushko, “On boundary and initial conditions in $\mathscr L_p$, $p>1$, of solutions of parabolic equations”, Mat. Sb. (N.S.), 125(167):4(12) (1984), 489–521; Math. USSR-Sb., 53:2 (1986), 489–522
Linking options:
https://www.mathnet.ru/eng/sm2097https://doi.org/10.1070/SM1986v053n02ABEH002934 https://www.mathnet.ru/eng/sm/v167/i4/p489
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Abstract page: | 361 | Russian version PDF: | 112 | English version PDF: | 10 | References: | 57 |
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