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This article is cited in 2 scientific papers (total in 2 papers)
On coercive solvability of parabolic equations
V. P. Anosov, P. E. Sobolevskii Voronezh State University
Abstract:
In this paper we study the coercive solvability of abstract differential equations of parabolic type in the spaces of L. N. Slobodetskii $W_p^\alpha$. It is established that the solution of equations with a constant operator $A$ which generates an analytic semigroup belongs to the trace space $E(\alpha,p,A)$. The results obtained are applied to the study of equations with a variable operator.
Received: 18.01.1971
Citation:
V. P. Anosov, P. E. Sobolevskii, “On coercive solvability of parabolic equations”, Mat. Zametki, 11:4 (1972), 409–419; Math. Notes, 11:4 (1972), 251–256
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https://www.mathnet.ru/eng/mzm9805 https://www.mathnet.ru/eng/mzm/v11/i4/p409
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Abstract page: | 189 | Full-text PDF : | 98 | First page: | 1 |
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