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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 5, Pages 690–699 (Mi jsfu1116)  
On the solvability of Burgers-type equation with special type of non-linearity

Igor V. Frolenkov, Roman V. Sorokin, Ivan E. Zubrov

Siberian Federal University, Krasnoyarsk, Russian Federation
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Abstract: A one-dimensional parabolic Burgers equation of special form with Cauchy data is considered in this paper. To prove the theorem on the solvability of this problem the method of weak approximation developed by Yu. Ya. Belov is used. The results of this paper enhance the results obtained in [2].
Keywords: inverse problem, parabolic equation, Burgers type equation, Cauchy problem, method of weak approximation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-936
This work is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Agreement No. 075-02-2023-936).
Received: 10.05.2023
Received in revised form: 18.06.2023
Accepted: 24.08.2023
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Igor V. Frolenkov, Roman V. Sorokin, Ivan E. Zubrov, “On the solvability of Burgers-type equation with special type of non-linearity”, J. Sib. Fed. Univ. Math. Phys., 16:5 (2023), 690–699
Citation in format AMSBIB
\Bibitem{FroSorZub23}
\by Igor~V.~Frolenkov, Roman~V.~Sorokin, Ivan~E.~Zubrov
\paper On the solvability of Burgers-type equation with special type of non-linearity
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2023
\vol 16
\issue 5
\pages 690--699
\mathnet{http://mi.mathnet.ru/jsfu1116}
\edn{https://elibrary.ru/YWCEYV}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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