Monthly online seminar:



Tuesday  6 December 2022 , 14.00  PM,  on zoom,


Title: NLS with multiplicative white noise


Abstract: Saranno discussi alcuni risultati di esistenza di soluzioni globali per NLS in presenza di un potenziale moltiplicativo di tipo rumore bianco. Cerchero' di bilanciare la presentazione della parte deterministica con quella probabilistica, nel tentativo di dare una panoramica abbastanza generale delle tecniche utilizzate.  

Zoom link: https://sissa-it.zoom.us/j/85260150193?pwd=ZFVKU0pHczAxWTBQLzdaQURvZmIzdz09

ID riunione: 852 6015 0193  Passcode: 059813





Tuesday  3 May 2022, 14.30  PM, on zoom,


Title: Scattering for the NLS with variable coefficients on the line


Abstract: In recent years an efficient framework was established to prove scattering for nonlinear dispersive equations, based on the combination of concentration-compactness principles and induction on energy arguments. Originally developed by Kenig and Merle, the framework has been adapted to many equations with constant coefficients. The presence of potential perturbations or variable coefficients in the equations introduces new difficulties due to unisotropy. In this talk I shall report on some new results, obtained in collaboration with Angelo Zanni (Roma), concerning scattering for a defocusing, subcritical NLS in one space dimension, with fully variable coefficients. 



Tuesday 12 April  2022, 14.30  PM on zoom


Title: Infinite dimensional invariant tori for the 1d NLS


Abstract: In the study of close to integrable Hamiltonian PDEs, a fundamental question is to understand the behaviour of ''typical'' solutions. With this in mind it is natural to study the persistence of almost-periodic solutions and infinite dimensional invariant tori, which are indeed typical in the integrable case. Up to now almost all results in the literature deal with very regular solutions for model PDEs with external parameters giving a large modulation. In this talk I shall discuss a series of new results, either constructing low regularity solutions or Gevrey solutions but for models with a weak parameter modulation.

Zoom link:  https://sissa-it.zoom.us/j/89957270469?pwd=VjA3VlJTcjRBSVB5ZU1KRkFFNXlIdz09

ID riunione: 899 5727 0469 Passcode: 306869