A Survey of Hardy Inequalities and their Optimization

SIAM Student Seminar
Friday, February 19, 2010 - 1:00pm for 1 hour (actually 50 minutes)
Skiles 255
Craig A. Sloane – School of Mathematics, Georgia Tech
Linwei Xin
This will be an introductory talk about Hardy inequalities. These inequalities are solutions to optimization problems, and their results are well-known. I will survey these results, and discuss some of the techniques used to solve these problems. The applications of Hardy inequalities are broad, from PDE's and mathematical physics to brownian motion. This talk will also serve as a lead-in to my talk at the Analysis seminar next Wednesday in which I discuss some current results that Michael Loss and I have obtained.