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. <i>Electronic Journal of Differential Equations, 2017</i>(171), pp. 1-23.

Rights

Attribution 4.0 International

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