Jean Dolbeault, Université Paris Dauphine
Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results
Martedì 06 Luglio 2021, ore 17:00
https://polimi-it.zoom.us/j/81798558580 | |
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Jacopo De Simoi, University of Toronto
Dynamical rigidity of convex billiards
Lunedì 21 Giugno 2021, ore 17:00
https://zoom.us/j/91544493126?pwd=cHVlNEFkZ1lHWjNONG9kWHdoaGwxQT09 | |
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Leszek Demkowicz, Oden Institute, The University of Texas at Austin
The DPG Method for Convection-Reaction Problems
Lunedì 10 Maggio 2021, ore 17:00
https://us02web.zoom.us/j/81021076857 | |
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Ernesto De Vito, Università di Genova
Machine Learning as an inverse problem
http://On line
Lunedì 03 Maggio 2021, ore 16:00
https://us02web.zoom.us/j/5772228296 | |
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Ricardo H. Nochetto, University of Maryland
Local discontinuous Galerkin methods for prestrained and bilayer plates
Lunedì 12 Aprile 2021, ore 17:00
https://us02web.zoom.us/j/87144322081 | |
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Guido De Philippis, Courant Institute of Mathematical Sciences
(Boundary) Regularity for area minimizing surfaces
Martedì 16 Marzo 2021, ore 17:00
polimi-it.zoom.us/j/88596504355 |
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Abstract
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Plateau problem consists in finding a surface of minimal area among the ones spanning a given curve. It is among the oldest problem in the calculus of variations and its study lead to wonderful development in mathematics.
Federer and Fleming integral currents provide a suitably weak solution to the Plateau problem in arbitrary Riemannian manifolds, in any dimension and
co-dimension. Once this week solution has been found a natural question consists in understanding whether it is classical one. i.e. a smooth minimal surface. This is the topic of the regularity theory, which naturally splits into interior regularity and boundary regularity.
After the monumental work of Almgren, revised by De Lellis and Spadaro, interior regularity is by now well understood. Boundary regularity is instead less clear and some new phenomena appear.
Aim of the talk is to give an overview of the problem and to present some boundary regularity results we have obtained in the last years.
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