On the Resolvent Existence and the Separability of a Hyperbolic Operator with Fast Growing Coefficients in L2(R 2 )

dc.contributor.author	Muratbekova, Mussakan
dc.contributor.author	Bayandiyev, Yerik
dc.date.accessioned	2024-12-18T07:37:35Z
dc.date.available	2024-12-18T07:37:35Z
dc.date.issued	2021
dc.identifier.issn	1501-7710
dc.identifier.other	doi.org/10.2298/FIL2103707M
dc.identifier.uri	http://rep.enu.kz/handle/enu/20327
dc.description.abstract	This paper studies the question of the resolvent existence, as well as, the smoothness of elements from the definition domain (separability) of a class of hyperbolic differential operators defined in an unbounded domain with greatly increasing coefficients after a closure in the space L2(R 2 ). Such a problem was previously put forward by I.M. Gelfand for elliptic operators. Here, we note that a detailed analysis shows that when studying the spectral properties of differential operators specified in an unbounded domain, the behavior of the coefficients at infinity plays an important role.	ru
dc.language.iso	en	ru
dc.publisher	Faculty of Sciences and Mathematics	ru
dc.relation.ispartofseries	35:3 (2021), 707–721;
dc.title	On the Resolvent Existence and the Separability of a Hyperbolic Operator with Fast Growing Coefficients in L2(R 2 )	ru
dc.type	Article	ru