Asymptotic behaviour of solutions to a system of Schrödinger equations

0476149 - MÚ 2018 RIV US eng J - Journal Article
Carvajal, X. - Gamboa, P. - Nečasová, Šárka - Nguyen, H. H. - Vero, O.
Asymptotic behaviour of solutions to a system of Schrödinger equations.
Electronic Journal of Differential Equations. Roč. 2017, č. 171 (2017), s. 1-23. ISSN 1072-6691
R&D Projects: GA ČR GA16-03230S
Institutional support: RVO:67985840
Keywords : coupled Schrodinger system * energy conservation * global solution * growth of solutions
OECD category: Pure mathematics
Impact factor: 0.944, year: 2017
https://ejde.math.txstate.edu/Volumes/2017/171/abstr.html

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.
Permanent Link: http://hdl.handle.net/11104/0272681