Starts 13 Dec 2021 14:00
Ends 13 Dec 2021 15:00
Central European Time
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ICTP Analysis Seminar: Degenerate fully nonlinear problems with free boundaries: regularity of the solutions
Online
Please register in advance for this meeting:
https://zoom.us/meeting/register/tJIvc-mgqTIjHdaJNTOuZ2bX39nTFjCM0ETo
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Abstract: We will discuss optimal regularity for equations with a degeneracy rate which varies in a discontinuous fashion over the domain. Moreover, this discontinuity depends in an implicit way on the solution itself. We introduce the notion of pointwise sharp regularity which requires an alternative characterization of Holder spaces. These ideas are combined with a geometric tangential analysis argument to obtain the optimal regularity.
https://zoom.us/meeting/register/tJIvc-mgqTIjHdaJNTOuZ2bX39nTFjCM0ETo
After registering, you will receive a confirmation email containing information about joining the meeting.
Abstract: We will discuss optimal regularity for equations with a degeneracy rate which varies in a discontinuous fashion over the domain. Moreover, this discontinuity depends in an implicit way on the solution itself. We introduce the notion of pointwise sharp regularity which requires an alternative characterization of Holder spaces. These ideas are combined with a geometric tangential analysis argument to obtain the optimal regularity.