报告题目：Global solutions to stochasticreaction-diffusion equationswith super-lineardrift and multiplicative noise
报告人：Tusheng ZhangUniversity of Manchester and USTC
报告摘要：Consider stochasticreaction-diffusion equations driven by multiplicative space-time white noise. Whenthe noise disappears, it is well known that such PDEs with superlinearfrequently have non-trivial stationary solutions. By contrast, Bonder andGroisman have recently shown that there is finite-time blowup when there isappearance of noise. In this paper, we prove that the Bonder--Groismancondition is unimproveable. We present two essentially-different ways ofapproaches without altering the conclusions ofour assertions.