In this talk, I present some new Calder' on-Zygmund estimates in different functional spaces for weak solutions of some quasilinear elliptic and parabolic equations with non-standard growth. The modified Vitali covering lemma, the maximal function technique and the appropriate localization method are the main analytical tools. This is a joint work with Shulin Zhou in Peking University and Lihe Wang in Shanghai Jiaotong University and University of Iowa.

张超副教授2001年至2007年在吉林大学学习并获得学士与硕士学位, 2011年在北京大学完成学业, 获得博士学位。张超副教授随后加入哈尔滨工业大学理学院数学系并工作至今。他的研究方向是偏微分方程及其应用, 曾获北京大学优秀博士学位论文和首届教育部“博士研究生学术新人奖”。