Coincidence Degree Theory and Semilinear Problems at Resonance

Start: 02/22/2012 - 1:15pm
End  : 02/22/2012 - 2:15pm

Applied Math Seminar

Adolfo Rumbos, Pomona College


Coincidence degree theory was developed by Jean Mawhin in the early 1970s as an extension of the Leray-Schauder degree. The theory applies to study of equations of the form

$ Lu =N(u) +f,  $

where $ N\colon X\to Y $ is a continuous map between Banach spaces, $ X $ and $ Y $,

$  L\colon\mbox{Dom}(L)\subset X\to Y  $

is a Fredholm operator of index $ 0 $, and $ f\in Y $. In this talk we outline the coincidence degree theory in the context of its applications to certain semilinear two--point boundary value problems under conditions of resonance.

Roberts Hall North 103, Claremont McKenna College (Roberts Hall North is located northeast of Kravis Center on CMC's campus. Please see attached map for more information)

CMC_2011_Map.pdf2.81 MB