主講人：陳昕 上海交通大學(xué)教授

時(shí)間：2023年5月13日9：30

地點(diǎn)：會(huì)議中心2號(hào)報(bào)告廳

舉辦單位：數(shù)理學(xué)院

主講人介紹：陳昕，上海交通大學(xué)，教授。2011年博士畢業(yè)于華威大學(xué)，師從李雪梅教授。主要研究領(lǐng)域是隨機(jī)分析，包括泛函不等式，流型上的隨機(jī)分析，跳過(guò)程的位勢(shì)理論，隨機(jī)均值化等。在國(guó)際知名數(shù)學(xué)期刊AoP, PTRF, CMP, Math Ann.等發(fā)表了多篇學(xué)術(shù)論文。

內(nèi)容介紹：In this paper, we establish a quantitative version of homogenization for symmetric α-stable-like operators with periodic coefficients. In particular, the convergence rate for the solutions of associated Dirichlet problems on bounded domain D is of order ε^((2-α)/2) 1_({α∈(1,2)})+ε^(α/2) 1_({α∈(0,1)})+ε^(1/2) 〖|logε|〗^2 1_({α=1}), while, when the solution of limit equation belongs to C_c^2 (D), the convergence rate becomes ε^((2-α)) 1_({α∈(1,2)})+ε^α 1_({α∈(0,1)})+ε〖|logε|〗^2 1_({α=1}). This indicates that the decay behaviors of the solution of limit equation near the boundary will make the convergence rate in the homogenization slower. This talk is based on a joint work with Zhen-qing Chen, Takashi Kumagai and Jian Wang.