The 2D scaling-critical electromagnetic Schrödinger operator

Orateur:
Jiqiang Zheng (Beijing Institute of Applied Physics and Computational Mathematics)
Localisation:
Type: Groupe de travail équations aux dérivées partielles
Site: UPEC , N/A
Salle:
Salle P1-P15
Date de début:
Date de fin:

Abstract : In this talk, we study the scaling-critical electromagnetic Schr\"odinger operator in 2D, involving the Aharonov-Bohm model as a main example. Especially, we will talk about the dispersive estimates, the uniform resolvent estimates and Bochner-Riesz means and Lp boundedness of intertwining operators. This talk is based on a series of joint works with Xiaofen Gao, Luca Fanelli, Xiaoyan Su, Ying Wang, Zhiqing Yin and Junyong Zhang.