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Mathematics of the USSR-Izvestiya, 1981, Volume 16, Issue 1, Pages 151–164
DOI: https://doi.org/10.1070/IM1981v016n01ABEH001283 (Mi im1638) 		 
This article is cited in 142 scientific papers (total in 143 papers)

A certain property of solutions of parabolic equations with measurable coefficients

N. V. Krylov, M. V. Safonov
English version PDF (673 kB) Citations (143) Russian version article
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DOI: https://doi.org/10.1070/IM1981v016n01ABEH001283
Abstract: In this paper Harnack's inequality is proved and the Hölder exponent is estimated for solutions of parabolic equations in nondivergence form with measurable coefficients. No assumptions are imposed on the smallness of scatter of the eigenvalues of the coefficient matrix for the second derivatives.
Bibliography: 9 titles.
Received: 09.01.1979
Bibliographic databases:
UDC: 517.9
MSC: Primary 35K10, 35B99; Secondary 26D20
Language: English
Original paper language: Russian
Citation: N. V. Krylov, M. V. Safonov, “A certain property of solutions of parabolic equations with measurable coefficients”, Math. USSR-Izv., 16:1 (1981), 151–164
Citation in format AMSBIB
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\by N.~V.~Krylov, M.~V.~Safonov
\paper A certain property of solutions of parabolic equations with measurable coefficients
\jour Math. USSR-Izv.
\yr 1981
\vol 16
\issue 1
\pages 151--164
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\zmath{https://zbmath.org/?q=an:0464.35035|0439.35023}
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    • This publication is cited in the following 143 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:3470
    Russian version PDF:1423
    English version PDF:181
    References:197
    First page:1
     
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