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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 2, Pages 274–289
DOI: https://doi.org/10.33048/smzh.2019.60.203 (Mi smj3075) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A boundary value problem for a mixed type equation in a cylindrical domain

A. N. Artyushin

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (309 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2019.60.203
Abstract: We examine a boundary value problem for a mixed type equation of the second order in a cylindrical domain. Under certain conditions, the existence of regular solutions in a suitable weighted Sobolev space is proven by regularization. The uniqueness of solutions is also established under the same conditions. A few estimates of the second derivatives of a generalized solution are obtained in the elliptic-parabolic domain.
Keywords: mixed type equation, elliptic-hyperbolic equation.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-41009_Узб_т
The author was supported by the Russian Foundation for Basic Research (Grant 18-51-41009).
Received: 11.07.2018
Revised: 18.07.2018
Accepted: 17.08.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 2, Pages 209–222
DOI: https://doi.org/10.1134/S0037446619020034
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35R30
Language: Russian
Citation: A. N. Artyushin, “A boundary value problem for a mixed type equation in a cylindrical domain”, Sibirsk. Mat. Zh., 60:2 (2019), 274–289; Siberian Math. J., 60:2 (2019), 209–222
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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