Invited by School of Mathematics and Statistics, Prof. Liguang Liu from Renmin University of China will give a lecture.

Title: The fractional Laplacian and fractional gradient operators

Time: 2:30 p.m.,May.17th, 2021

Conference ID: 532766128( Tencent Conference), PASSWD: 1234

Abstract: We will talk about some recent results related to the fractional Laplacian $\nabla^s_+=(-\Delta)^{\frac s2} $ and the fractional gradient $\nabla^s_-=\nabla (-\Delta)^{\frac {s-1}{2}}$, including also some optimal inequalities of type Hardy-Rellich/Adams-Moser/Morrey-Sobolev, and regularity of the distributional solutions to the dual equations $[\nabla^s_\pm]^\ast u=f$.