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Oct 10 2022

Analysis and Applied Mathematics Seminar: Global existence of solutions for a fractional damped Schrödinger equation, by Colette Guillope

October 10, 2022

4:00 PM - 4:50 PM

Location

1227 SEO

Address

Chicago, IL

Colette Guillope (Universite Paris-Est Creteil ): Global existence of solutions for a fractional damped Schrödinger equation

We consider the initial value problem for the fractional
nonlinear Schrödinger equation with a damping term.
We study the global existence and the scattering of
solutions. Noticeably, for the focusing nonlinearity,
it is shown that for a large enough damping, the size
of the solution depends only on the initial data, and
the solution exists for all times in a space of
regular enough functions.

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Contact

Jerry Bona

Date posted

Oct 4, 2022

Date updated

Oct 4, 2022

Speakers

Colette Guillope | (Universite Paris-Est Creteil )