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Stampa

SEMINARI DI ANALISI MATEMATICA

Evento 

Titolo:
Asymptotic stability for the Schroedinger equation in dimension three with a pointwise nonlinearity
Quando:
20.11.2013 13.30 h
Dove:
Palazzo Campana - Torino
Aula:
Aula C
Relatore:
Prof. Riccardo Adami
Afferenza:
Dipartimento di Matematica, Politecnico di Torino
Proponente:
V. Barutello
Locandina:
Locandina

Descrizione

Pointlike potentials for the linear Schroedinger equation in space dimension three are classically defined by
means of the Von Neumann-Krein's theory of self-adjoint extensions for symmetric operators. It turns out that
the family of such extensions can be parametrized by a real number, that physically represents the scattering
length of the pointlike potential. Imposing a dependence of such a parameter on the function to which the
self-adjoint operator applies, one obtains a nonlinear equation, whose nonlinear term is concentrated at a point. Specializing the shape of the nonlinearity, it is possible to produce stationary states, and then to study the
problem of their orbital and asymptotic stability. We give some results on one of such models, namely the
"pointwise power nonlinearity". An interesting feature of such model is that, in order to prove asymptotic
stability of the ground states, there is no need of ad hoc assumptions. This is a joint work with D. Noja and C. Ortoleva (Milan)

Sede

Mappa
Sede:
Palazzo Campana   -   Sito web
Via:
Via Carlo Alberto, 10
Cap:
10123
Città:
Torino
Provincia:
To
Paese:
Paese: it

Descrizione

Dipartimento di Matematica, Università degli Studi di Torino

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