A proof of the sharp Sobolev inequality

Series
SIAM Student Seminar
Time
Thursday, September 18, 2014 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Rohan Ghanta – School of Mathematics, Georgia Tech
Organizer
Fabio Difonzo
By showing a duality relation between the Sobolev and Hardy-Littlewood-Sobolev inequalities, I discuss a proof of the sharp Sobolev inequality. The duality relation between these two inequalities is known since 1983 and has led to interesting recent work on the inequalities (which may be the topic of future talks).