Abstract
In this paper we study the coercive solvability of abstract differential equations of parabolic type in the spaces of L. N. Slobodetskii Wpα. It is established that the solution of equations with a constant operator A which generates an analytic semigroup belongs to the trace space E(α, p, A). The results obtained are applied to the study of equations with a variable operator.
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More From: Mathematical Notes of the Academy of Sciences of the USSR
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