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MSRI Summer Microprogram on Nonlinear Partial Differential Equations

July 23, 2007 to August 10, 2007
Organized By: L. C. Evans (UC Berkeley, Chair), C. Gutierrez (Temple), C. Sogge (Johns Hopkins), D. Tataru (UC Berkeley)
 
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Super- and sub-solutions of Aronsson equations

Wednesday July 25, 2007

01:00PM - 01:50PM

Speakers:
Robert Jensen

Abstract:

It is easy to verify that viscosity solutions of |Du|-1 = 0 and 1-|Du|=0 are super- and sub-solutions of the infinity-Laplacian. I will talk about similar connections between viscosity solutions of H(x,u,Du)=0 and the associated Aronsson equation.
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