報(bào) 告 人:張土生 教授
報(bào)告題目:Stochastic reaction diffusion equations driven by space time white noise
報(bào)告時(shí)間:2023年10月21日(周六上午10:00 )
報(bào)告地點(diǎn):徐州溫德姆酒店博頓A廳
主辦單位:數(shù)學(xué)研究院、數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、科學(xué)技術(shù)研究院
報(bào)告人簡(jiǎn)介:
張土生,中國(guó)科技大學(xué)概率統(tǒng)計(jì)系主任,國(guó)家高層次人才,曾任英國(guó)曼徹斯特大學(xué)教授。目前擔(dān)任《Stochastic Processes and Their Applications》,《Journal of Theoretical Probability》, 《Communications in Mathematics and Statistics》,《Acta Math. Appl. Sin. published by Springer》等國(guó)際上重要雜志的編委。張土生教授主要從事隨機(jī)(偏)微分方程,大偏差,Mallianvin Calculus, 狄氏型等方面研究,先后訪(fǎng)問(wèn)了美國(guó)加州大學(xué)歐文分校、康奈爾大學(xué)、德國(guó)比勒費(fèi)爾德大學(xué)等數(shù)十個(gè)國(guó)家和地區(qū)的大學(xué)和科研院所,被邀請(qǐng)?jiān)谒氖鄠€(gè)大型的國(guó)際隨機(jī)分析會(huì)議上作了特邀報(bào)告。
報(bào)告摘要:
We consider stochastic reaction diffusion equations on the whole space driven by space time whit noise. In the first part of the talk, I will present results on the well-posedness of the stochastic reaction diffusion equations with super-linear coefficients. In the second part, quadratic transportation cost inequalities for the stochastic reaction diffusion equations will be discussed. New moments estimates of the stochastic convolution against the space time white noise play an important role.