ON NON-EXISTENCE OF GLOBAL SOLUTIONS TO A CLASS OF STOCHASTIC HEAT EQUATIONS
ON NON-EXISTENCE OF GLOBAL SOLUTIONS TO A CLASS OF STOCHASTIC HEAT EQUATIONS
复制标题
DOI：
10.1090/proc/12036
复制
发表时间：
2012-08
期刊：
影响因子：
--
通讯作者：
Mohammud Foondun;R. Parshad
中科院分区：
文献类型：
--
作者：
Mohammud Foondun;R. Parshad
我们考虑非线性抛物型随机偏微分方程的形式！tu =！(! ! )! /2u + B（u）+“（u）stecw，w这里stecw表示时空白色噪声。函数B和“都是局部Lipschitz连续的。在适当的参数条件下，我们证明了上述方程没有无规场解。这补充了Khoshnevisan和他的合著者最近的作品。
We consider nonlinear parabolic SPDEs of the form ! tu = ! (! ! )! /2u + b(u )+ " (u )˙ w ,w here ˙ w denotes space-time white noise. The functions b and " are both locally Lipschitz continuous. Under some suitable conditions on the parameters of this SPDE, we show that the above equation has no random-field solution. This complements recent works of Khoshnevisan and his coauthors.