[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
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56126 Pisa
E-Mail: v.giuliani at sns.it
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