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Mathematical Physics Seminar

Avy Soffer and Thomas Spencer - Evolution of NLS with Bounded Data

Avy Soffer and Thomas Spencer

Location:  Webinar
Date & time: Thursday, 23 April 2020 at 12:00PM - 1:00PM

MATHEMATICAL PHYSICS WEBINAR
RUTGERS UNIVERSITY
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Thursday, April 23, 12:00pm

Avy Soffer- Rutgers University  &  Thomas Spencer- Institute for Advanced Study, Princeton

Title
 "Evolution of NLS with Bounded Data"

We study the nonlinear Schrodinger equation (NLS) with bounded initial data whichdoes not vanish at in finity. Examples include periodic, quasi-periodic and random initial data.On the lattice we prove that solutions are polynomially bounded in time for any bounded data. In the continuum, local existence is proved for real analytic data by a Newton iteration scheme. Global existence for NLS with a regularized nonlinearity follows by analyzing a local energy norm(arXiv:2003.08849 [math.AP]____________

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