Department of Mathematics and Statistics

ANALYSIS SEMINAR

Location:

Organizers: Marian Bocea and Rafal
Goebel

Fall 2014 Analysis Seminar

Fall 2013 Analysis Seminar

Spring 2013 Analysis Seminar

Fall 2012 Analysis Seminar

Spring 2012 Analysis Seminar

Fall 2011 Analysis Seminar

Fall 2014 Analysis Seminar

Fall 2013 Analysis Seminar

Spring 2013 Analysis Seminar

Fall 2012 Analysis Seminar

Spring 2012 Analysis Seminar

Fall 2011 Analysis Seminar

Tuesday, March 10 -

Abstract: If the origin is an asymptotically stable equilibrium for a differential equation dx/dt=f(x) with smooth enough right-hand side, then the image of any neighborhood of the origin under f contains a neighborhood of the origin. In particular, the vector field given by f takes on all directions on any neighborhood of the origin. Proofs of this result involve fixed point arguments, degree theory, converse Lyapunov results, etc. The talk will outline the proofs and include some motivation and examples.

Tuesday, March 31 - ROBERT JENSEN (Loyola University Chicago) -

Abstract: I will describe a somewhat geometrical proof of the strong maximum principle. By modifying this method I will recover a result of Y. Yu on the the norm of the gradient for $C^2$ solutions of the infinity Laplacian and indicate how to generalize this to similar operators.

Tuesday, April 21 -