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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 410, Pages 168–186 (Mi znsl5628)  
This article is cited in 12 scientific papers (total in 12 papers)

On the regularity of solutions to the equation $-\Delta u+b\cdot\nabla u=0$

N. Filonovab

a St. Petersburg Department of Steklov Mathematical Institute, 27 Fontanka, 191023 St. Petersburg
b St. Petersburg State University, Physics Faculty
Full-text PDF (274 kB) Citations (12)
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Abstract: The equation $-\Delta u+b\cdot\nabla u=0$ is considered. The dependence of the local regularity of a solution $u$ on the properties of the coefficient $b$ is investigated.
Key words and phrases: elliptic equations, regularity of solutions.
Received: 18.12.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 195, Issue 1, Pages 98–108
DOI: https://doi.org/10.1007/s10958-013-1566-4
Bibliographic databases:
Document Type: Article
UDC: 517
Language: English
Citation: N. Filonov, “On the regularity of solutions to the equation $-\Delta u+b\cdot\nabla u=0$”, Boundary-value problems of mathematical physics and related problems of function theory. Part 43, Zap. Nauchn. Sem. POMI, 410, POMI, St. Petersburg, 2013, 168–186; J. Math. Sci. (N. Y.), 195:1 (2013), 98–108
Citation in format AMSBIB
\Bibitem{Fil13}
\by N.~Filonov
\paper On the regularity of solutions to the equation $-\Delta u+b\cdot\nabla u=0$
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~43
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 410
\pages 168--186
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5628}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3048265}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 195
\issue 1
\pages 98--108
\crossref{https://doi.org/10.1007/s10958-013-1566-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898970898}
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  • https://www.mathnet.ru/eng/znsl/v410/p168
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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