Chennai Mathematical Institute

Seminars




Mathematics Seminar
Date: Thursday, 14 September 2023
Time: 3:30 - 4:30 PM
Venue: Seminar Hall
Nonlocal Boundary Hardy Inequality: The critical case

Prosenjit Roy
IIT Kanpur.
14-09-23


Abstract

Hardy's inequality plays an important role in the theory of partial differential equations. In this talk, we will be concerned with Hardy type inequalities, both classical and nonlocal versions. We will start with the classical Hardy's inequality and its developments. Then we will discuss nonlocal boundary Hardy type inequality and its generalised version, viz. nonlocal boundary Caffarelli-Kohn-Nirenberg inequality, in dimension one for the critical case. The last part of the talk is based on a recent joint work with Adimurthi and Purbita Jana.