Algebraic Error Estimates for the Stochastic Homogenization of Uniformly Parabolic Equations

Algebraic Error Estimates for the Stochastic Homogenization of Uniformly Parabolic Equations
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均匀抛物型方程随机齐次化的代数误差估计

DOI:
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发表时间:
2015
期刊:
影响因子:
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通讯作者:
Charles K. Smart
Charles K. Smart
中科院分区:
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文献类型:
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作者:
Jessica Lin;Charles K. Smart

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本文建立了平稳遍历时空介质中完全非线性一致抛物方程随机均匀化的代数误差估计。该方法类似于Armstrong和Smart在研究一致椭圆型方程的定量随机均匀化问题中的方法。
This article establishes an algebraic error estimate for the stochastic homogenization of fully nonlinear uniformly parabolic equations in stationary ergodic spatio-temporal media. The approach is similar to that of Armstrong and Smart in the study of quantitative stochastic homogenization of uniformly elliptic equations.