Denseness of Domains of Differential Operators in Sobolev Spaces
Date
2002-02-27
Authors
Yakubov, Sasun
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Denseness of the domain of differential operators plays an essential role in many areas of differential equations and functional analysis. This, in turn, deals with dense sets in Soblev spaces. Denseness for functions of a single variable was formulated and proved, in a very general form, in the book by Yakubov and Yakubov [8,Theorem 3.4.2/1]. In the same book, denseness for functions of several variables was formulated. However, the proof of such result is complicated and needs a series of constructions which are presented in this paper. We also prove some independent and new results.
Description
Keywords
Local rectification, Local coordinates, Normal system, Holomorphic semigroup, Infinitesimal operator, Dense sets, Sobolev spaces
Citation
Yakubov, S. (2002). Denseness of domains of differential operators in Sobolev spaces. <i>Electronic Journal of Differential Equations, 2002</i>(23), pp. 1-13.
Rights
Attribution 4.0 International