论文标题
由混合分数布朗尼动作驱动的半线性SPDES系统的爆炸估计值
Blow-up estimates for a system of semilinear SPDEs driven by mixed fractional Brownian motions
论文作者
论文摘要
在本文中，我们获得了通过布朗和分数布朗尼运动驱动的半线性随机偏微分方程系统的解决方案的存在和有限的爆炸。在合适的假设下，获得有限时间爆破溶液的下限和上边界。我们为存在全球弱解决方案提供了足够的条件。此外，通过使用malliavin conculus提供了考虑到有限的时间爆破解决方案的概率的下限。
In this paper, we obtain the existence and finite-time blow-up for the solution to a system of semilinear stochastic partial differential equations driven by a combination of Brownian and fractional Brownian motions. Under suitable assumptions, lower and upper bounds for the finite-time blow-up solution are obtained. We provide sufficient conditions for the existence of a global weak solution to the system. Further, a lower bound for the probability of the finite-time blow-up solution of the considered system is provided by using Malliavin calculus.
