Publication Cover
Applicable Analysis
An International Journal
Volume 5, 1975 - Issue 2
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Original Articles

The sobolev equation, II

Pages 81-99 | Published online: 02 May 2007
 

Abstract

Partial differential equations of the form MDtU+LU = f are considered in which M and L denote realizations of regular elliptic linear partial differential operators of respective orders 2 m and 2 l. The abstract existence results of Part I lead to existence of generalized solutions of the equation. Regularity results are obtained by the technique of interpolation theory. The results include the parabolic equation (m = 0) and pseudo-parabolic equations m≧l. The extensive bibliography contains about 36 references to the literature on this class of equations

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