The sobolev equation, II
- 1 January 1975
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 5 (2) , 81-99
- https://doi.org/10.1080/00036817508839111
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 equationsKeywords
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