EXISTENCE AND MAXIMAL REGULARITY OF SOLUTIONS IN L2(R 2 ) FOR A HYPERBOLIC TYPE DIFFERENTIAL EQUATION WITH QUICKLY GROWING COEFFICIENTS

dc.contributor.author	Muratbekov, M.B.
dc.contributor.author	Bayandiyev, Ye.N.
dc.date.accessioned	2024-12-18T07:08:01Z
dc.date.available	2024-12-18T07:08:01Z
dc.date.issued	2020
dc.identifier.issn	2077-9879
dc.identifier.other	doi.org/10.32523/2077-9879-2020-11-1-95-100
dc.identifier.uri	http://rep.enu.kz/handle/enu/20316
dc.description.abstract	In this paper the problem of the existence of solutions is studied for a hyperbolic type differential equation defined in an unbounded domain. The problem of the smoothness of solutions is also considered here. Such problems are of particular interest when the coefficients are unbounded. The novelty of the work is that the weighted coercive estimate is obtained for the solutions of a hyperbolic type differential equation with quickly growing coefficients.	ru
dc.language.iso	en	ru
dc.publisher	EURASIAN MATHEMATICAL JOURNAL	ru
dc.relation.ispartofseries	Volume 11, Number 1 (2020), 95 – 100;
dc.subject	hyperbolic type equation	ru
dc.subject	maximal regularity	ru
dc.subject	an unbounded domain	ru
dc.subject	nonsmooth coefficients	ru
dc.title	EXISTENCE AND MAXIMAL REGULARITY OF SOLUTIONS IN L2(R 2 ) FOR A HYPERBOLIC TYPE DIFFERENTIAL EQUATION WITH QUICKLY GROWING COEFFICIENTS	ru
dc.type	Article	ru