A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS
A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS
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DOI：
10.1070/im1981v016n01abeh001283
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发表时间：
1981-02
期刊：
影响因子：
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通讯作者：
N. Krylov;M. Safonov
中科院分区：
文献类型：
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作者：
N. Krylov;M. Safonov
本文证明了Harnack不等式，并估计了具有可测系数的无散度形式抛物型方程的解的Holder指数。对于二阶导数的系数矩阵的特征值的散度很小，不作任何假设。参考书目：9册。
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. Bibliography: 9 titles.