Denseness of Domains of Differential Operators in Sobolev Spaces

dc.contributor.authorYakubov, Sasun
dc.date.accessioned2020-07-15T17:08:44Z
dc.date.available2020-07-15T17:08:44Z
dc.date.issued2002-02-27
dc.description.abstractDenseness 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationYakubov, S. (2002). Denseness of domains of differential operators in Sobolev spaces. <i>Electronic Journal of Differential Equations, 2002</i>(23), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12087
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectLocal rectification
dc.subjectLocal coordinates
dc.subjectNormal system
dc.subjectHolomorphic semigroup
dc.subjectInfinitesimal operator
dc.subjectDense sets
dc.subjectSobolev spaces
dc.titleDenseness of Domains of Differential Operators in Sobolev Spacesen_US
dc.typeArticle

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