PhD course: Calculus of variations, isoperimetric inequalities, and eigenvalue problems

 

Lecturer: Marcello Lucia, Professor at the City University of New York

Location: Palazzo delle Scienze, via Ospedale 72, Cagliari

Room E, intermediate floor (mezzanine).

Summary. Calculus of Variations is a fundamental branch of Mathematical Analysis which has been deeply developed since its foundation. Born in connection with problems from Mathematical Physics, it is an extremely actual field of research due the theoretical defies it poses to the intellect as well as to its wide range of applications.Subject: variational methods (including minimization of variational integrals and critical points theory) for solving partial elliptic equations of elliptic type, with applications to isoperimetric inequalities and eigenvalue problems.
The course is structured in 10 lectures of two hours each, and should be accessible with minimal prerequisites, i.e., a convenient number of the lectures is devoted to build up the necessary knowledge for a fruitful attendance of the subsequent ones.
Final exam: students are asked to choose a published paper among those suggested by the lecturer, and to give a seminar on the paper’s content.


WEEK 1

Lecture no.DateHour
1Monday, May 28th11:15 – 13:00
2Tuesday, May 29th11:15 – 13:00
   
3Thursday, May 31st09:15 – 11:00
 Friday, June 1st: INdAM Day


WEEK 2

Lecture no.DateHour
4Monday, June 4th09:15 – 11:00
5Tuesday, June 5th09:15 – 11:00
   
6Thursday, June 7th09:15 – 11:00
7Friday, June 8th09:15 – 11:00


WEEK 3

Lecture no.DateHour
8Monday, June 11th09:15 – 11:00
9Tuesday, June 12th09:15 – 11:00
10Wednesday, June 13th09:15 – 11:00


Acknowledgement

Visiting Professor Programme, financially supported by Regione Autonoma della Sardegna
Visiting ProfessorsRegione autònoma de Sardigna

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