[CvGmt News] Fwd: corso del Pino

[Daniele Castorina]

Carissimi,

vorrei segnalarvi il seguente interessante corso del Prof. del Pino 
previsto per la prossima settimana a Roma 3.
Maggiori informazioni nel messaggio forwardato qui di seguito.
A presto


-------- Messaggio originale --------
Oggetto: 	corso del Pino
Data: 	Mon, 10 Dec 2012 17:54:03 +0100
Mittente: 	esposito at mat.uniroma3.it
A: 	Daniele Castorina <castorin at axp.mat.uniroma2.it>




La prossima settimana il prof. Manuel del Pino (Universidad de Chile)
terrà il corso di dottorato "Gluing techniques for semilinear elliptic
problems"  presso il Dipartimento di Matematica, Università degli
Studi Roma Tre, in aula 311 (a meno che il numero di partecipanti non
richieda aule più capienti). L'orario indicativo delle lezioni sarà:
Lunedi' 17/12 ore 16-19
Martedi' 18/12 ore 9-11
Mercoledi' 19/12 ore 9-11
Giovedi' 20/12 ore 10-13
Tutti gli interessati sono invitati a partecipare.
Cordiali saluti,
Pierpaolo Esposito


Summary: This course treats gluing techniques to treat singular
perturbation elliptic problems. The problem addressed is that of
constructing families of solutions, dependent on a parameter involved
in the equation, which in the limit it exhibits a form of
concentration behavior on a lower dimensional
object. The idea is to reduce the problem of construction to a finite
or infinite-dimensional variational problem for the limiting
concentration object, by means of a form of Lyapunov-Schmidt reduction.
We will illustrate this method by applying it to some equations
classical in the literature
1. The weighted Allen Cahn equation: Construction of solutions with a
transition layer in the one-dimensional case.
2. The case of the stationary NLS in the one  dimensional cases:
extension to higher dimensions for point concentration.
3. The weighted Allen Cahn equation: Construction of solutions with a
transition layer on a curve in the two-dimensional case.
4. Point concentration in NLS and Liouville type equations.

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