Geodesic
Denseness of domains of differential operators in Sobolev spaces
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 26B35, 26D10
Keywords: local rectification, local coordinates, normal system, holomorphic semigroup, infinitesimal operator, dense sets 
@article{EJDE_2002__2002__a154,
     author = {Yakubov, Sasun},
     title = {Denseness of domains of differential operators in {Sobolev} spaces},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a154/}
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Yakubov, Sasun. Denseness of domains of differential operators in Sobolev spaces. Electronic Journal of Differential Equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a154/