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Einladung zum Vortrag (Zoom) von Frau Prof. Patricia Alonso-Ruiz (Texas A&M University) am 15.05.2024 - 14:30 Uhr im Rahmen des Forschungsseminars Analysis
[15.05.2024]Im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 15. Mai 2024, um 14:30 Uhr,
Frau Prof. Patricia Alonso-Ruiz (Texas A&M University) einen Vortrag zum Thema
Where could p-energies come from? On a quest to find them in Cheeger spaces
Abstract: The classical p-energy is a functional that arises by integration of the pth power of the gradient. It is associated with a non-linear operator, the p-Laplacian, that serves as the basis of many problems in PDE. Being defined in terms of a gradient, one runs into trouble when the underlying space has no straightforward notion of the latter. Can we make sure that there is still a natural notion of p-energy in the absence of a gradient?
Motivated by that question, we discuss in this talk a way to construct a p-energy in the framework of Cheeger spaces without involving their differential structure. Instead, we will exploit the characteristic features of a Cheeger metric measure space: The doubling property and a (p,p)-Poincaré inequality for Lipschitz functions.
The talk is based on joint work with Fabrice Baudoin.
Der Vortrag findet im Rahmen eines Zoom-Meetings statt. Bei Interesse an den Zugangsdaten bitte bei Herrn Prof. Mugnolo (delio.mugnolo) melden.
