### Approximation of p-ground states

- Series
- PDE Seminar
- Time
- Tuesday, October 6, 2015 - 15:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Ryan Hynd – University of Pennsylvania

The smallest eigenvalue of a symmetric matrix A can be
expressed through Rayleigh's formula. Moreover, if the smallest eigenvalue
is simple, it can be approximated by using the inverse iteration method or
by studying the large time behavior of solutions of the ODE x'(t)=-Ax(t).
We discuss surprising analogs of these facts for a nonlinear PDE eigenvalue
problem involving the p-Laplacian.