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Sibirskii Zhurnal Industrial'noi Matematiki, 2018, Volume 21, Number 3, Pages 18–25
DOI: https://doi.org/10.17377/sibjim.2018.21.302 (Mi sjim1007) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Generalized Cole–Hopf transformation

Yu. E. Anikonovab, M. V. Neshchadimab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
Full-text PDF (212 kB) Citations (2)
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DOI: https://doi.org/10.17377/sibjim.2018.21.302
Abstract: On the basis of generalization of the Cole–Hopf transformation for parabolic equations with a source, we obtain some new representations of solutions and coefficients of nonlinear parabolic equations of mathematical physics which in fact are differential-algebraic identities. These representations can be used in studying the multidimensional direct and inverse problems.
Keywords: Cole–Hopf transformation, nonlinear parabolic equation.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 81
1.3.8
93
The authors were supported by the Interdisciplinary Integration Project of Basic Research (project no. 81), the Division of Mathematical Sciences of the Russian Academy of Sciences (project no. 1.3.8), and the Project of Basic Research Performed Jointly with Third-Party Organizations (project no. 93).
Received: 14.03.2018
English version:
Journal of Applied and Industrial Mathematics, 2018, Volume 12, Issue 3, Pages 409–416
DOI: https://doi.org/10.1134/S199047891803002X
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: Yu. E. Anikonov, M. V. Neshchadim, “Generalized Cole–Hopf transformation”, Sib. Zh. Ind. Mat., 21:3 (2018), 18–25; J. Appl. Industr. Math., 12:3 (2018), 409–416
Citation in format AMSBIB
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\by Yu.~E.~Anikonov, M.~V.~Neshchadim
\paper Generalized Cole--Hopf transformation
\jour Sib. Zh. Ind. Mat.
\yr 2018
\vol 21
\issue 3
\pages 18--25
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\crossref{https://doi.org/10.17377/sibjim.2018.21.302}
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\transl
\jour J. Appl. Industr. Math.
\yr 2018
\vol 12
\issue 3
\pages 409--416
\crossref{https://doi.org/10.1134/S199047891803002X}
\elib{https://elibrary.ru/item.asp?id=35731231}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85052055424}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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