ICTP Analysis Seminar - Tuesday 24 May, at 16:00 (Edgar Pimentel)/hybrid seminar

[ICTP Math Section]

_ICTP ANALYSIS SEMINAR_


Starts 24 May 2022, 16:00
Ends 24 May 2022, 17:30
Central European Time

Presence: Leonardo Building - Luigi Stasi lecture room

Online:
Register in advance for this meeting:
https://zoom.us/meeting/register/tJIoduGvrzwqG9Bm5jtdLWo2pwurGgvSvq3W
After registering, you will receive a confirmation email containing 
information about joining the meeting.

Title: Fully nonlinear free transmission problems

Edgar Pimentel (Pontifical Catholic University of Rio de Janeiro – 
PUC-Rio and Centre for Mathematics at the University of Coimbra)

Abstract: We consider a discontinuous, fully nonlinear elliptic 
operator, perhaps degenerate, whose discontinuities depend on the 
solutions. Such dependence frames the model in the context of free 
boundary problems. We discuss the optimal regularity of solutions and 
prove the existence of viscosity solutions to this problem. We plan to 
detail conditions under which strong solutions exist in the uniformly 
elliptic setting. We close the talk with comments on further directions 
of research and related problems we have grown fond of recently.


/This will be a hybrid seminar. All are very welcome to join either 
online or in person.//Venue: Luigi Stasi Lecture Room (ICTP Leonardo Da 
Vinci Building), for those wishing to attend in person./

/https://indico.ictp.it/event/9964//

//--

Koutou Mabilo ICTP Mathematics Group Leonardo Da Vinci Building Strada 
Costiera no. 11 34151 Trieste, Italy Tel. no.: +39-040-2240455 For to be 
free is not merely to cast off one's chains, but to live in a way that 
respects and enhances the freedom of others. Nelson Mandela