[CvGmt News] avviso seminario di matematica prof. Michael Röckner (30.05.2013)
valeria.giuliani at sns.it
valeria.giuliani at sns.it
Thu May 23 12:08:44 CEST 2013
SEMINARIO DI MATEMATICA
Giovedì 30 maggio 2013
ore 15:00
_Scuola Normale Superiore_
Pisa
Aula Bianchi
*__*
*__*
*Prof. Michael Röckner*
/University of Bielefeld/
//
Terrà un seminario dal titolo:
**
*"Stochastic nonlinear Schrödinger equations with linear multiplicative
noise: the rescaling approach"***
**
*Abstract:*
/We present well-posedness results for stochastic nonlinear Schrödinger
equations with linear multiplicative Wiener noise including the
non-conservative case. Our approach is different from the standard
literature on stochastic nonlinear Schrödinger equations. By a rescaling
transformation we reduce the stochastic equation to a random nonlinear
Schrödinger equation with lower order terms and treat the resulting
equation by a fixed point argument, based on generalizations of
Strichartz estimates proved by J. Marzuola, J. Metcalfe and D. Tataru in
2008. This approach allows to improve earlier well-posedness results
obtained in the conservative case by a direct approach to the stochastic
Schrödinger equation. In contrast to the latter, we obtain
well-posedness in the full range (1, 1 + 4/d) of admissible exponents in
the non-linear part (where d is the dimension of the underlying
Euclidean space), i.e. in exactly the same range as in the deterministic
case./
//
Tutti gli interessati sono invitati a partecipare.
Classe di Scienze
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--------------------------------------------------------------------------------
Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
Tel. 050-509260
Piazza dei Cavalieri, 7
56126 Pisa
E-Mail: v.giuliani at sns.it
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Grazie.
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