Asymptotic behavior of solutions to a system of Schrodinger equations
Date
2017-07-07
Authors
Carvajal, Xavier
Gamboa, Pedro
Necasov'a, Sarka
Nguyen, Huy Hoang
Vera, Octavio
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the behaviour of solutions to a coupled system of Schrodinger equations that has applications in many physical problems, especially in nonlinear optics. In particular, when the solution exists globally, we obtain the growth of the solutions in the energy space. Finally, some conditions are also obtained for having blow-up in this space.
Description
Keywords
Coupled Schrödinger system, Energy conservation, Global solution, Growth of solutions, Blow-up, Well-posedness
Citation
Carvajal, X., Gamboa, P., Necasova, S., Nguyen, H. H., & Vera, O. (2017). Asymptotic behavior of solutions to a system of Schrodinger equations. Electronic Journal of Differential Equations, 2017(171), pp. 1-23.
Rights
Attribution 4.0 International