论文标题
时空分数SPDE的路线爆炸
Pathwise Blowup of space-time fractional SPDEs
论文作者
论文摘要
讨论了一类时空分数随机部分微分方程的有限时间爆炸。都考虑了白噪声和彩色噪声的情况。当空间结构域的边界时，可以获得爆炸和OSGOOD条件之间的充分和必要条件。当空间域是整个空间时，可以获得爆炸的足够条件。本文的结果可以被认为是Foondun和Nualart，2021年的某些结果的扩展。
The finite time blowup in the almost sure sense of a class of space-time fractional stochastic partial differential equations is discussed. Both the cases of white noise and colored noise are considered. The sufficient and necessary condition between the blowup and Osgood condition is obtained when the spatial domain is bounded. And the sufficient condition for the blowup is obtained when the spatial domain is the whole space. The results in this paper could be regarded as extensions to some results in Foondun and Nualart, 2021.
