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Global solutions to stochasticreaction-diffusion equationswith super-lineardrift and multiplicative noise

发布日期:2018-12-26     作者:数学学院      编辑:丘天     点击:

报告题目:Global solutions to stochasticreaction-diffusion equationswith super-lineardrift and multiplicative noise

报告人:Tusheng ZhangUniversity of Manchester and USTC

报告时间:2018年12月28日下午2:30-3:30

报告地点:吉林大学前卫校区数学楼第一报告厅

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.

主办单位:吉林大学数学学院

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