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 Izv. Akad. Nauk SSSR Ser. Mat., 1980, Volume 44, Issue 1, Pages 161–175 (Mi izv1638)

A certain property of solutions of parabolic equations with measurable coefficients

N. V. Krylov, M. V. Safonov

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.

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English version:
Mathematics of the USSR-Izvestiya, 1981, 16:1, 151–164

Bibliographic databases:

UDC: 517.9
MSC: Primary 35K10, 35B99; Secondary 26D20

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
\Bibitem{KrySaf80} \by N.~V.~Krylov, M.~V.~Safonov \paper A certain property of solutions of parabolic equations with measurable coefficients \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1980 \vol 44 \issue 1 \pages 161--175 \mathnet{http://mi.mathnet.ru/izv1638} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=563790} \zmath{https://zbmath.org/?q=an:0464.35035|0439.35023} \transl \jour Math. USSR-Izv. \yr 1981 \vol 16 \issue 1 \pages 151--164 \crossref{https://doi.org/10.1070/IM1981v016n01ABEH001283} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1981LP24600008} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

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