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SUMMARY:Avy Soffer (Rutgers)
DTSTART:20200814T185000Z
DTEND:20200814T195000Z
DTSTAMP:20260423T004140Z
UID:MPHA/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MPHA/10/">Ev
 olution of NLS with Bounded Data</a>\nby Avy Soffer (Rutgers) as part of T
 AMU: Mathematical Physics and Harmonic Analysis Seminar\n\n\nAbstract\nWe 
 study the nonlinear Schrodinger equation (NLS) with bounded initial data w
 hich does not vanish at infinity. Examples include periodic\, quasi-period
 ic and random initial data. On the lattice we prove that solutions are pol
 ynomially bounded in time for any bounded data. In the continuum\, local e
 xistence is proved for real analytic data by a Newton iteration scheme. Gl
 obal existence for NLS with a regularized nonlinearity follows by analyzin
 g a local energy norm (arXiv:2003.08849 [math.AP]\, J.Stat.Phys\,  2020).\
 nThis is a joint work with Ben Dodson and Tom Spencer.\n
LOCATION:https://researchseminars.org/talk/MPHA/10/
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