主講人：Chen Wenxiong，紐約Yeshiva大學(xué)終身教授

時(shí)間：2024年7月1日9：30

地點(diǎn)：三號(hào)樓332室

舉辦單位：數(shù)理學(xué)院

主講人介紹：Chen Wenxiong，美國(guó)紐約Yeshiva大學(xué)終身教授，數(shù)學(xué)系主任，國(guó)際知名的數(shù)學(xué)家。曾多次獲得美國(guó)國(guó)家科學(xué)基金獎(jiǎng)。擔(dān)任Nonlinear Analysis: Theory, Methods & Applications 及Communications on Pure and Applied Analysis 兩個(gè)SCI數(shù)學(xué)雜志的編輯。研究方向?yàn)榉蔷€(xiàn)性偏微分方程，目前以分?jǐn)?shù)階Laplace方程為主。Chen教授在數(shù)學(xué)頂級(jí)期刊Annals of Math, J. of Diff. Geom., Comm. Pure and Appl. Math, Duke Math. J, Advance in Math, Arch. Rat. Mech. Anal.等發(fā)表論文80余篇，并出版了三本專(zhuān)著，他引已達(dá)五千余次，其中在Duke Math. J.上發(fā)表的名為Classification of solutions of some nonlinear elliptic equations的論文被引高達(dá)1000余次。

內(nèi)容介紹：In this talk, we will introduce various nonlinear fractional parabolic equations Lu = f(t; x; u(x; t)), where L is a fractional parabolic operator assuming the form of ?_t+〖(-?)〗^s, or ?_t^α+〖(-?)〗^s, or 〖(?_t-?)〗^s. Here ?_t^α is the Marchaud fractional derivative and 〖(?_t-?)〗^s is known as the master operator respectively. We will illustrate the extent of non-locality of these operators and explain the differences among them. We prove some simple maximum principles and we illustrate the transition from elliptic problems to parabolic problems.