2026.10.14  15：30-16：30 报告一: Partial and everywhere regularity for nonlinear elliptic systems and vector-valued functionals

报告简介：In this talk, we introduce partial and everywhere regularity for vector-valued variational integrals and elliptic systems. By recalling the Morrey and Campanato decay estimates, we discuss three type approaches to study partial regularity of nonlinear elliptic system. Meanwhile, we try to find an extension of partial and everywhere regularity result to recent variational integrals and system with nonstandard growth in the vectorial setting.

2026.10.14  16:30-17:30 报告二: The Calderón-Zygmund theory for divergence-type elliptic and parabolic equations

报告简介：This report begins with the research background of the Calderón-Zygmund theory for elliptic and parabolic partial differential equations, as well as major research advances and development trends concerning nonlinear elliptic and parabolic equations, asymptotically regular problems, and related obstacle problems. Subsequently, we review four fundamental approaches commonly adopted in the Calderón-Zygmund theory, currently prevalent research methods, and the extension theory of regularity for PDEs. Finally, we elaborate on the principal achievements obtained to date.

报告人简介：郑神州，北京交通大学数学与统计学院教授, 博士生导师。1997年获复旦大学理学博士学位，研究方向为偏微分方程理论及应用。曾访问肯塔基大学、芝加哥大学、普渡大学和西班牙巴斯克应用数学中心等，主持完成多项国家自然科学基金“面上”和“国际合作”项目，在JMPA、TAMS、JFA、JDE、CVPDE等期刊上发表SCI论文130余篇。2014年作为主要参与人获中国铁道学会科技奖二等奖，2020年度获期刊JMAA杰出论文奖(Ames奖)。

报告地点：国产自拍 301会议室