2018年10月24日 |  English version
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Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise

报告题目:Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise

报告时间:2018年7月2日(周一)14:00

报告地点:行健楼学术活动室526

报告人: Professor Tusheng Zhang, School of Mathematics University of Manchester 中国科学技术大学千人计划专家

邀请人:高洪俊教授


Abstract:  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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