On the nonexistence of NLS breathers.

Abstract: In this talk,  we will show a  proof of the nonexistence of breather solutions for NLS equations. By using a suitable virial functional, we are able to characterize the nonexistence of breather solutions by only using their inner energy and the power of the corresponding nonlinearity of the equation. We extend this result for several NLS models with different power nonlinearities and even the derivative NLS equation.

Date: Jul 22, 2024 at 16:20:00 h
Venue: Sala de Seminarios DIM, 5to piso Torre Norte
Speaker: Miguel Angel Alejo
Affiliation: Universidad de Córdoba, España
Coordinator: Gabrielle Nornberg
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Posted on Jul 15, 2024 in Differential Equations, Seminars