On Nonlinear Schrödinger Equations with Magnetic Fields
Document Type
Presentation
Presentation Date
3-11-2013
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."
Department of Mathematical Sciences Faculty Presentations.
Presentation 553.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/553
