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

发布时间:2019-04-01浏览次数:1392


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.




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