题目:Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise
报告人:张土生(英国曼彻斯特大学)
时间:4月9日,10:30-11:30
地点:明德楼B区201学术报告厅
摘要:Consider 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.