A certain property of solutions of parabolic equations with measurable coefficients

N. V. Krylov; M. V. Safonov

doi:10.1070/IM1981v016n01ABEH001283

A certain property of solutions of parabolic equations with measurable coefficients

N. V. Krylov, M. V. Safonov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

155 Scopus citations

Abstract

In this paper Harnack's inequality is proved and the Holder 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.

Original language	English (US)
Pages (from-to)	151-164
Number of pages	14
Journal	Mathematics of the USSR - Izvestija
Volume	16
Issue number	1
DOIs	https://doi.org/10.1070/IM1981v016n01ABEH001283
State	Published - Feb 28 1981

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title = "A certain property of solutions of parabolic equations with measurable coefficients",

abstract = "In this paper Harnack's inequality is proved and the Holder 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.",

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A certain property of solutions of parabolic equations with measurable coefficients

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