dr. Zucco's seminar at SISSA (+ Abstract)

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT


Speaker: Dr. *Davide* Zucco (SISSA)

Title:  Optimization of Laplace eigenvalues with Dirichlet region of 
prescribed size

ABSTRACT In this talk I will discuss the maximization of the first 
eigenvalue of the Laplacian (or an isotropic elliptic operator with 
nonconstant coefficients) with Dirichlet boundary conditions on a domain 
of the kind ?\?, where ? is a given open set and ? is an unknown compact 
set. The class of admissible Dirichlet regions among which I look for 
the optimum are different, according to the space dimension. In one 
dimension, when ? is an interval, ? is a discrete set of n points, with 
fixed n. In two dimensions, when ? is a planar domain, I require ? to be 
connected set with prescribed lenght L. I will focus on some qualitative 
results on such maximizers and then, by means of ?-convergence theory, 
on the asymptotics as n ? ?
or L ? ?. I will also discuss a comparison with the maximum distance 
problems. The results are joint work with Paolo Tilli (Politecnico di 
Torino).


Venue: Lecture room 133

Time: Tuesday, January 29, at 14:00

-- 
Dr. Emanuele Tuillier Illingworth
Secretary of the Mathematics Area
Building A, II floor, room 214
phone (+39) 040 37 87 598
fax (+39) 040 37 87 466
SISSA
Via Bonomea 265
34136
Trieste, ITALY
emanuele.tuillier at sissa.it