Applied Analysis Seminar
Wednesday September 24 in K9509, SFU
2:30-3:30
Adrian Lewis
Simon Fraser University,
Title:
"Nonsmooth Lojasiewicz inequalities"
Abstract:
Consider a real-analytic function f on a Euclidean space,
and suppose f(0)=0. The Lojasiewicz gradient inequality
asserts the existence of a positive exponent a<1 such that
|f(x)|^a
--------
|f'(x)|
is bounded above near 0. It is a crucial tool in a recent
proof of the famous "gradient conjecture of Thom", that
steepest descent trajectories for real-analytic functions do
not oscillate near critical points. I will outline some
nonsmooth variants.
This is joint work with Jerome Bolte and Aris Daniilidis.