dc.contributor.author Yakubov, Sasun ( ) dc.date.accessioned 2020-07-15T17:08:44Z dc.date.available 2020-07-15T17:08:44Z dc.date.issued 2002-02-27 dc.identifier.citation Yakubov, S. (2002). Denseness of domains of differential operators in Sobolev spaces. Electronic Journal of Differential Equations, 2002(23), pp. 1-13. en_US dc.identifier.issn 1072-6691 dc.identifier.uri https://digital.library.txstate.edu/handle/10877/12087 dc.description.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. en_US dc.format Text dc.format.extent 13 pages dc.format.medium 1 file (.pdf) dc.language.iso en_US en_US dc.publisher Texas State University, Department of Mathematics en_US dc.source Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. dc.subject Local rectification en_US dc.subject Local coordinates en_US dc.subject Normal system en_US dc.subject Holomorphic semigroup en_US dc.subject Infinitesimal operator en_US dc.subject Dense sets en_US dc.subject Sobolev spaces en_US dc.title Denseness of Domains of Differential Operators in Sobolev Spaces en_US txstate.documenttype Article dc.rights.license This work is licensed under a Creative Commons Attribution 4.0 International License.
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