报告题目：Recent results on nonlocal double phase equations

报告人：张超（哈尔滨工业大学）

报告时间：2026年6月6日上午10：00

报告地点：格物楼数学中心528

报告摘要：In recent years, substantial progress has been achieved in the regularity theory for nonlocal functionals and equations with nonstandard growth. In this talk, I first provide a brief survey of known regularity results for nonlocal problems. I then focus on our recent works concerning the regularity of solutions to nonlocal double-phase equations. These results are established by delicately controlling the subtle interplay between the pointwise behavior of the modulating coefficient and the growth exponents.

报告人简介：张超，哈尔滨工业大学数学学院和数学研究院教授、博士生导师。研究领域为非线性椭圆和抛物型方程以及函数空间的基础理论，在Math. Ann., J. London Math. Soc., J. Func. Anal., Calc. Var. Partial Differential Equations, Indiana Univ. Math. J.等权威期刊发表论文70余篇，主持国家自然科学基金项目4项。目前担任黑龙江省数学会秘书长，国际SCI期刊《Bulletin of Mathematical Sciences》编委。