Higher order boundary Schauder estimates on Carnot groups
Mathematics Colloquim: Prof. Isidro Munive, University of Guadalajara, Mexico.
| Speaker |
Mathematics Colloquim: Prof. Isidro Munive, University of Guadalajara, Mexico.
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| When |
Sep 13, 2022
from 04:00 PM to 05:00 PM |
| Where | Auditorium, ground floor, CAM, bangalore |
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Abstract: In this talk, I will talk about my recent work on $\Gamma^{k, \alpha}$ Schauder estimates near a $C^{k , \alpha}$ non-characteristic portion of the boundary in Carnot groups. Here $\Gamma^{k, \alpha}$ refers to Folland-Stein Holder spaces. Our proof is based on geometric compactness arguments which are inspired by fundamental works of Caffarelliin the 90's as well as some further ramifications of those in recent times due to De Silva and Savin. This is joint with Agnid Banerjee and Nicola Garofalo.