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Caltech/UCLA/USC Joint Analysis Seminar

Tuesday, March 29, 2022
11:00am to 12:00pm
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Online Event
Asymptotic flatness of Morrey extremals
Ryan Hynd, Department of Mathematics, University of Pennsylvania,

Along with Sobolev's inequality, Morrey's estimate is the other inequality which sets the stage for the theory of Sobolev spaces.  This local estimate extends naturally to a global inequality, which we call Morrey's inequality. In this talk, we'll give a qualitative description of the extremals of this inequality. We will also explain why these extremals have a limit at infinity and also explain how to take a step in quantifying this convergence.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].