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Event Type:

Analysis Seminar

Date/Time:

Monday, May 21, 2018 - 12:00 to 13:00

Location:

WNGR 285

Guest Speaker:

Institution:

Reed College

Abstract:

Starting with results by Moser, Nash, and DeGiorgi in the late 50's-early 60's, the regularity theory of elliptic and subelliptic equations with rough coefficients has been thoroughly developed. There is also a smaller theory still in its infancy of infinitely degenerate elliptic equations with smooth data, beginning with work of Fedii and Kusuoka-Strook, and continued by Morimoto and Christ. In this talk I will present our results that initiate a regularity theory in the context of equations that are both infinitely degenerate elliptic and have rough data. More precisely, I will talk about local boundedness and continuity of weak solutions via DeGiorgi iterations, for a certain class of infinitely degenerate elliptic equations with rough coefficients.