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AMCS Short Course| The method of intrinsic scaling

Start Date: September 19, 2017
End Date: September 19, 2017

By Professor Jose Urbano (University of Coimbra, in Portugal)
This set of lectures is an introduction to intrinsic scaling, a powerful method in the analysis of degenerate and singular PDEs. The local Hölder continuity of bounded weak solutions will be derived from scratch for the model case of the degenerate p-Laplace equation. Our approach is entirely self-contained and focused on the essence of the method, leaving aside technical refinements needed to deal with more general equations.
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 45 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 (Brazil), the University of Florence (Italy), Aalto University (Finland) the Federal University of Ceará (Brazil) and KAUST (Saudi Arabia). He was invited speaker in several international conferences and is an associate editor of the journal "Nonlinear Analysis". He is currently 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: Prof. Diogo Gomes: email:
Date: Tuesday 19 & Wednesday 20 Sep. 2017
Time:01:00 PM - 03:00 PM
Date: Thursday 21, Sep. 2017 / Time 9:00 - 10:30 AM
Location: Location: Building 1, Level 3, Room 3422
Refreshments: Will be served