Yakubov, Sasun2020-07-152020-07-152002-02-27Yakubov, S. (2002). Denseness of domains of differential operators in Sobolev spaces. <i>Electronic Journal of Differential Equations, 2002</i>(23), pp. 1-13.1072-6691https://hdl.handle.net/10877/12087Denseness 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.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalLocal rectificationLocal coordinatesNormal systemHolomorphic semigroupInfinitesimal operatorDense setsSobolev spacesArticle