A certain property of solutions of parabolic equations with measurable coefficients
Izvestiya. Mathematics , Tome 16 (1981) no. 1, pp. 151-164
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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.
@article{IM2_1981_16_1_a7,
author = {N. V. Krylov and M. V. Safonov},
title = {A certain property of solutions of parabolic equations with measurable coefficients},
journal = {Izvestiya. Mathematics },
pages = {151--164},
publisher = {mathdoc},
volume = {16},
number = {1},
year = {1981},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a7/}
}
TY - JOUR AU - N. V. Krylov AU - M. V. Safonov TI - A certain property of solutions of parabolic equations with measurable coefficients JO - Izvestiya. Mathematics PY - 1981 SP - 151 EP - 164 VL - 16 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a7/ LA - en ID - IM2_1981_16_1_a7 ER -
N. V. Krylov; M. V. Safonov. A certain property of solutions of parabolic equations with measurable coefficients. Izvestiya. Mathematics , Tome 16 (1981) no. 1, pp. 151-164. http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a7/