Musielak-Orlicz Spaces and Their Applications in PDEs

报告人：张超（哈尔滨工业大学）

时  间：2026年5月16日16:30

地  点：海韵园行政楼C610

内容摘要:

In this talk, we aim to discuss some recent results in the Musielak-Orlicz spaces. The spaces we study simultaneously combinine the inhomogeneous, Orlicz and anisotropic properties. We first present an existence result to the general nonlinear parabolic equations in Musielak-Orlicz spaces. It is worth noting that some well-known equations are the special cases of this problem. Then, one recent result concerning the regularity of solutions in fractional Musielak-Orlicz spaces will be discussed.

个人简介：

张超，哈尔滨工业大学，教授，本科和硕士毕业于吉林大学，博士毕业于北京大学。主要从事函数空间理论、非线性椭圆和抛物型偏微分方程的适定性和正则性等方面的研究，在Math. Ann., J. London Math. Soc, J. Func. Anal., Calc. Var. Partial Differential Equations, Indiana Univ. Math. J., Israel J. Math., IMRN, J. Differential Equations, J. Geom. Anal.和Bull. Lond. Math. Soc.等权威期刊发表论文50余篇。目前担任黑龙江省数学会秘书长，国际SCI期刊《Bulletin Mathematical Sciences》编委。

联系人：程庆进