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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)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1980, Volume 44, Issue 1, Pages 161–175
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”, Izv. Akad. Nauk SSSR Ser. Mat., 44:1 (1980), 161–175; Math. USSR-Izv., 16:1 (1981), 151–164
Citation in format AMSBIB
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\jour Izv. Akad. Nauk SSSR Ser. Mat.
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\vol 44
\issue 1
\pages 161--175
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\transl
\jour Math. USSR-Izv.
\yr 1981
\vol 16
\issue 1
\pages 151--164
\crossref{https://doi.org/10.1070/IM1981v016n01ABEH001283}
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  • https://www.mathnet.ru/eng/im/v44/i1/p161
    • 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:3435
    Russian version PDF:1414
    English version PDF:174
    References:195
    First page:1
     
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