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AMCS Short courses in An introduction to the ∞–Laplacian

Start Date: January 30, 2017
End Date: January 30, 2017

By Professor José Miguel Urbano (University of Coimbra, in Portugal)
 
The course is an introduction to the analysis of ∞−harmonic functions, a subject that grew mature in recent years in the field of nonlinear partial differential equations. The material covered ranges from the Lipschitz extension problem to questions of existence, uniqueness and regularity for ∞−harmonic functions. A rigorous and detailed analysis of the equivalence between being absolutely minimising Lipschitz, enjoying comparison with cones and solving the ∞– Laplace equation in the viscosity sense is the backbone of the course. A few regularity results (including the Harnack inequality and the local Lipschitz continuity) and an easy proof, due to Armstrong and Smart, of the celebrated uniqueness theorem of Jensen complete the cours.
 
Biography: José Miguel Urbano is a Professor of Mathematics at the University of Coimbra, in Portugal. He has studied in Paris (École Polytéchnique, 1995), Lisbon (PhD, 1998) and Chicago (postdoc, Northwestern University, 1999). He is the author of the book "The Method of Intrinsic Scaling”, published in the series Lecture Notes in Mathematics, and of over 40 scientific papers in the area of Nonlinear Partial Differential Equations. He has supervised four PhD students and ten postdoctoral fellows and has taught short courses at IMPA (Rio de Janeiro, Brazil), the University of Florence (Italy), Aalto University (Finland) and the Federal University of Ceará (Fortaleza, Brazil). He was invited speaker in several international conferences and is an associate editor of the journal "Nonlinear Analysis". He is currently a member of the Scientific Council for the Exact Sciences and Engineering of the Portuguese Science Foundation (FCT), one of the Scientific Directors of the Carnegie Mellon/Portugal ICTI Program and a member of the Advisory Board of the UT Austin/Portugal CoLab Program. 

More Information:

For more info contact: Professor Diogo Gomes: email: diogo.gomes@kaust.edu.sa@kaust.edu.sa
 
Date:
Mon. 30th Jan. 2017 @ 10:30 AM - 12:00 PM
Wed. 1 Feb, 2017@ 9 am – 10:30 am
Th. 2 Feb, 2017@ 10:30-12 noon
Location: Building 1- Level 3- 3119
Refreshments: will be served @ 10:30