Asymptotic behaviour of solutions to a system of Schrödinger equations

0476149 - MÚ 2018 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA16-03230S
Institucionální podpora: RVO:67985840
Klíčová slova: coupled Schrodinger system * energy conservation * global solution * growth of solutions
Obor OECD: Pure mathematics
Impakt faktor: 0.944, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0272681