This article is cited in 153 papers

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.

UDC: 517.9

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

Received: 09.01.1979

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

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