Well-posedness results for the wave equation generated by the Bessel operator

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dc.contributor.author Bekbolat, B.
dc.contributor.author Tokmagambetov, N.
dc.date.accessioned 2021-09-30T09:02:28Z
dc.date.available 2021-09-30T09:02:28Z
dc.date.issued 2021-03-30
dc.identifier.citation Bekbolat B. Well-posedness results for the wave equation generated by the Bessel operator/B. Bekbolat, N. Tokmagambetov//Қарағанды университетінің хабаршысы. Математика сериясы.= Вестник Карагандинского университета. Серия Математика. = Bulletin of the Karaganda University. Mathematics Series. -2021. №1. Р.11-16. ru_RU
dc.identifier.uri http://rep.ksu.kz/xmlui/handle/data/11139
dc.description.abstract In this paper, we consider the non-homogeneous wave equation generated by the Bessel operator. We prove the existence and uniqueness of the solution of the non-homogeneous wave equation generated by the Bessel operator. The representation of the solution is given. We obtained a priori estimates in Sobolev type space. This problem was firstly considered in the work of M. Assal [1] in the setting of Bessel-Kingman hypergroups. The technique used in [1] is based on the convolution theorem and related estimates. Here, we use a different approach. We study the problem from the point of the Sobolev spaces. Namely, the conventional Hankel transform and Parseval formula are widely applied by taking into account that between the Hankel transformation and the Bessel differential operator there is a commutation formula [2]. ru_RU
dc.language.iso en ru_RU
dc.publisher KU Publ. ru_RU
dc.relation.ispartofseries Қарағанды университетінің хабаршысы. Математика сериясы.= Вестник Карагандинского университета. Серия Математика. = Bulletin of the Karaganda University. Mathematics Series.;№1(101)/2021
dc.subject Bessel operator ru_RU
dc.subject wave equation ru_RU
dc.subject Hankel transform ru_RU
dc.subject inverse Hankel transform ru_RU
dc.subject Sobolev type space ru_RU
dc.title Well-posedness results for the wave equation generated by the Bessel operator ru_RU
dc.title.alternative Бессель операторы арқылы туындаған толқын теңдеуі үшін тұрақтылық нәтижелері ru_RU
dc.title.alternative Результаты корректности волнового управления, порожденного оператором Бесселя ru_RU
dc.type Article ru_RU


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