The moment and almost surely exponential stability of stochastic heat equations
The moment and almost surely exponential stability of stochastic heat equations
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DOI：
10.1090/s0002-9939-08-09458-6
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发表时间：
2008-05
期刊：
影响因子：
--
通讯作者：
B. Xie
中科院分区：
文献类型：
--
作者：
B. Xie
本文用一种简单的方法研究了m维布朗运动驱动的随机热方程强解的p阶矩和几乎必然指数稳定性。特别地，尖顶李雅普诺夫指数显式计算的基础上表示的强解。
In this article, the p-th moment and almost surely exponential stability of the strong solution to a stochastic heat equation driven by an m-dimensional Brownian motion is investigated by a simple method. In particular, the sharp top Lyapunov exponents are explicitly calculated based on the representation of the strong solution.