Analysis and Applied Mathematics Seminar
Colette Guillope
Universite Paris-Est Creteil
Global existence of solutions for a fractional damped Schrödinger equation
Abstract: 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.
Monday October 10, 2022 at 4:00 PM in 1227 SEO