论文标题

随机微分方程的强溶液在混合声 - 空间中具有系数

Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces

论文作者

Ling, Chengcheng, Xie, Longjie

论文摘要

通过研究混合空间中的抛物线方程,我们证明了由Brownian运动驱动的强大解决方案的存在和独特性,该方程在具有混合面积的空间中具有系数,这扩展了Krylov和Röckner在[11]和Zhang [18]中的结果。

By studying parabolic equations in mixed-norm spaces, we prove the existence and uniqueness of strong solutions to stochastic differential equations driven by Brownian motion with coefficients in spaces with mixed-norm, which extends Krylov and Röckner's result in [11] and Zhang's result in [18].

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