科学研究
报告题目:

Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicati

报告人:

报告时间:

报告地点:

报告摘要:

报告题目:

Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise

报 告 人:

张土生 教授(中国科技大学)

报告时间:

2018年04月03日 15:30--16:30

报告地点:

理学院东北楼二楼报告厅(209)

报告摘要:

onsider stochastic reaction-diffusion equations driven by multiplicative space-time white noise. When the noise disappears, it is well known that such PDEs with superlinear frequently have non-trivial stationary solutions. By contrast, Bonder and Groisman have recently shown that there is finite-time blowup when there is appearance of noise. In this paper, we prove that the Bonder--Groisman condition is unimproveable. We present two essentially-different ways of approaches without altering the conclusions of our assertions.