Estimates in probability of the residual between the random and the homogenized solutions of one-dimensional second-order operator

Estimates in probability of the residual between the random and the homogenized solutions of one-dimensional second-order operator
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一维二阶算子随机解和齐次解之间残差的概率估计

DOI:
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发表时间:
1999
期刊:
影响因子:
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通讯作者:
P. N. Lebedev
P. N. Lebedev
中科院分区:
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文献类型:
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作者:
J. Monnet;P. N. Lebedev

文献摘要

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这项工作是对随机系数满足强或均匀混合条件的一维二阶椭圆算子的初始问题和均质问题的解之间的差异进行估计。我们根据相应的混合系数获得了几个清晰的估计。
The work is giving estimations of the discrepancy between solutions of the initial and the homogenized problems for a one-dimensional second-order elliptic operators with random coefficients satisfying strong or uniform mixing conditions. We obtain several sharp estimates in terms of the corresponding mixing coefficient.