论文标题
半线性SPD系统爆炸时间的下限和上限
Lower and upper bounds for the explosion times of a system of semilinear SPDEs
论文作者
论文摘要
在本文中，我们获得了爆破时间的下限和上限，以与半连接随机偏微分方程的系统。在合适的假设下，通过使用随机偏微分方程的相关系统和由于YOR引起的公式的显式解决方案获得爆炸时间的下限和上限。我们还提供了有限时间爆炸的概率的估计。通过适当的参数选择，研究了噪声对溶液的影响。上述结果也扩展了由二维布朗尼运动强迫的半连接SPDE。
In this paper, we obtain lower and upper bounds for the blow-up times to a system of semilinear stochastic partial differential equations. Under suitable assumptions, lower and upper bounds of explosion times are obtained by using explicit solutions of an associated system of random partial differential equations and a formula due to Yor. We also provide an estimate for the probability of the finite-time blow-up. With a suitable choice of parameters, the impact of the noise on the solution is investigated. The above-obtained results are also extended for semilinear SPDEs forced by two dimensional Brownian motions.
