Some New Comparison Results in Balls and Shells
- Series
- PDE Seminar
- Time
- Tuesday, February 18, 2014 - 15:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Jeffrey Langford – Bucknell University
In a comparison theorem, one compares the solution of a given
PDE to a solution of a second PDE where the data are "rearranged." In this
talk, we begin by discussing some of the classical comparison results,
starting with Talenti's Theorem. We then discuss Neumann comparison
results, including a conjecture of Kawohl, and end with some new results in
balls and shells involving cap symmetrization.