Mathematical Sciences: Faculty Presentations (1991-2022)
On Nonlinear Schrödinger Equations with Magnetic Fields
Document Type
Presentation
Presentation Date
3-11-2013
Copyright
This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.
Abstract or Description
The dissipative mechanism of the Schroedinger equation is mathematically described by the energy decay of the solution. We mainly address how an electromagnetic field affects the local and global in time existence for certain nonlinear Schroedinger equations. In the focusing case we show that the construction of solitons contributes to the profile decomposition of the solution.
Sponsorship/Conference/Institution
International Workshop on Nonlinear and Modern Mathematical Physics (NMMP)
Location
Tampa, FL
Recommended Citation
Zheng, Shijun.
2013.
"On Nonlinear Schrödinger Equations with Magnetic Fields."
Mathematical Sciences: Faculty Presentations (1991-2022).
Presentation 553.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/553