报告人：熊棋

报告题目：Hölder Continuity for Fully Fractional Parabolic Equations with Space-time Nonlocal Operators

摘要：We study the local Hölder regularity of weak solutions to the fully fractional parabolic equations involving spatial fractional diffusion and fractional time derivatives of the Marchaud type. It is worth noting that we do not impose boundedness assumptions on the weak solutions and nonhomogeneous terms. Within the space-time nonlocal framework, it is crucial to consider both space-dependent nonlocal tail terms and the first introduced time-dependent nonlocal tail term. By adapting a nonlocal variant of the parabolic De Giorgi iterative technique, we initially establish a priori local boundedness with tail terms for weak solutions and then prove the local Hölder continuity.

报告时间：2024年9月13 日15：30-17:00

腾讯会议号：804341125 

报告人简介：熊棋，西南交通大学讲师，于2023年获得南开大学博士学位，博士期间在纽芬兰纪念大学访问一年，主持国家青年科学基金，担任美国 《Mathematical Reviews》评论员，主要研究方向为非线性方程解的存在性、利用调和分析技巧研究偏微分方程解的正则性等，成果发表于Calc. Var. Partial Differential Equations，J. Geom. Anal.，J. Differential Equations等杂志。