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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 2003–2012
DOI: https://doi.org/10.33048/semi.2019.16.143 (Mi semr1184) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differentical equations, dynamical systems and optimal control

A boundary value problem for a 3rd order equation with a changing direction of evolution

A. N. Artyushin

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.143
Abstract: We examine a boundary value problem for a 3rd order equation with a changing direction of evolution. Under certain conditions, the existence of regular solutions in a suitable weighted Sobolev space is proven by regularization. The uniqueness of a generalized solution is also established as a consequence.
Keywords: mixed type equations, equations with a changing direction of evolution.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-41009_Узб_т
Received May 6, 2019, published December 26, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35G16
Language: Russian
Citation: A. N. Artyushin, “A boundary value problem for a 3rd order equation with a changing direction of evolution”, Sib. Èlektron. Mat. Izv., 16 (2019), 2003–2012
Citation in format AMSBIB
\Bibitem{Art19}
\by A.~N.~Artyushin
\paper A boundary value problem for a 3rd order equation with a changing direction of evolution
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 2003--2012
\mathnet{http://mi.mathnet.ru/semr1184}
\crossref{https://doi.org/10.33048/semi.2019.16.143}
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    • This publication is cited in the following 1 articles:
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    Full-text PDF :143
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