Por Yehyun Kwon (Changwon National University).

In this talk, we obtain a complete characterization of the Carleman inequality with the weights $e^{v\cdot x}$ for the polyharmonic operators and deduce unique contin- uation properties for higher order Schrödinger operators with critical potentials. Closely tied toolkits from harmonic analysis are the Stein–Tomas restriction estimate and the endpoint estimates for the Bochner–Riesz operators of negative indices. This is based on joint work with Eunhee Jeong and Sanghyuk Lee.

The Lisbon Webinar in Analysis in Differential Equations is a joint iniciative of CAMGSD, CMAFcIO and GFM, three research centers of the University of Lisbon. It is aimed at filling the absence of face-to-face seminars and wishes to be a meeting point of mathematicians working in the field.

Transmissão via Zoom (pw: lisbonwade).