Fractional power of Laplacian

Speaker: Rakesh Balhara
Date: 4th September 2018
Time: 9:15pm-10:15pm
Venue: Lecture Hall 1, Department of Mathematics
 
Abstract:
We will consider an extension problem and relate its solution to the fractional powers of the Grushin operator. The same stuff has been done for Laplacian on R^n, so we will start with Laplacian case in order to understand this technique of defining fractional power of an operator via extension problem. Further we will derive trace-Hardy inequality and subsequently Hardy’s inequality for the fractional power of Grushin operator using the extension problem technique.
Prerequisites:  Basic Functional Analysis
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