報告題目：Propagation of singularities & minimizing movement
報 告 人：程偉 教授
所在單位：南京大學
報告時間：2023年8月30日 10:00-11:00
報告地點：正新樓306
校内聯系方式：fanyiou0@163.com
報告摘要：There are various notions of singular characteristics in the theory of propagation singularities of viscosity solutions. In this talk, we will discuss the variational construction of generalized characteristics and strict singular characteristics. We proved the solution of generalized characteristics can be constructed in an intrinsic way using the idea of minimizing movements and certain process of homogenization. Moreover, the relation between the strict singular characteristics and the EDI-EVI frame of gradient flow was also discussed. In general, these results bridge various different topics. This talk is based on our latest work with Piermarco Cannarsa, Jiahui Hong and Kaizhi Wang.
報告人簡介：南京大學數學系教授，博導。目前主要研究領域為Hamilton動力系統，Aubry-Mather理論，Hamilton-Jacobi方程的粘性解理論，變分法與最優控制，平均場博弈論等。另外對幾何測度論、sub-Riemannian幾何、非光滑分析具有濃厚興趣。在Comm. Math. Phys.，Calc. Var. Partial Differential Equations，Comm. Partial Differential Equations，SIAM J. Math. Anal.，J. Differential Equations，Dynamic Games and Applications等國際著名學術期刊發表20餘篇論文。曾多次訪問巴黎6大，巴黎7大，羅馬2大，早稻田大學、國立新加坡大學，多次受邀在美國、法國、意大利、西班牙、日本、新加坡、台灣等地舉辦的國際學術會議上做學術報告。先後主持多項國家自然科學基金，作為骨幹成員參加國家973項目，基金委重點項目。
