Applied PDE Group
Nonlinear Partial Differential Equations in Fluid and Solid Mechanics

Short Course by prof. J.M. Urbano

Short Course : An introduction to the ∞–Laplacian, by prof. J.M. Urbano

​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.

The course will take place in B1/L3 room 3119 the following dates
Mon. 30th Jan. 2017 @ 10:30 - 12:00
Wed. 1 Feb, 2017@ 9:00 – 10:30
Th. 2 Feb, 2017@ 10:30-12:00