Mathematics Analysis Seminar: Jose Miguel Urbano, Shaping the free boundary on singular elliptic pro
This event is in the past.
When:
November 9, 2023
1 p.m. to 2 p.m.
1 p.m. to 2 p.m.
Where:
Nelson Library Faculty Administration Bldg
#1146
Event category:
Seminar
In-person
Title: Shaping the free boundary on singular elliptic problems
Speaker: José Miguel Urbano (KAUST and Universidade de Coimbra)
Abstract: We consider free boundary models arising from minimising energy functionals with varying singularities. For measurable and bounded singular exponents, we establish the $C^{1,alpha}$-regularity of local minima. Sharp regularity estimates along the free boundary are also obtained under a mild continuity assumption on the exponent. These estimates vary point-by-point along the interface, leading to multiple free boundary geometries.