On global rough solutions to a non-linear Schrödinger system
L Ma, X Song, L Zhao - Glasgow Mathematical Journal, 2009 - cambridge.org
The non-linear Schrödinger systems arise from many important physical branches. In this
paper, employing the 'I-method', we prove the global-in-time well-posedness for a coupled …
paper, employing the 'I-method', we prove the global-in-time well-posedness for a coupled …
Stability for the time-dependent Hartree equation with positive energy
L Ma, L Zhao - Journal of mathematical analysis and applications, 2010 - Elsevier
In this paper, we show that the H1 solutions to the time-dependent Hartree equation are
stable under the perturbation of parameters. We show that any sequence of H1 solutions to …
stable under the perturbation of parameters. We show that any sequence of H1 solutions to …
On energy stability for the coupled nonlinear wave and Schrödinger systems
L Ma, H Liu - Nonlinear Analysis: Theory, Methods & Applications, 2010 - Elsevier
In this paper, we show that regular solutions to the coupled nonlinear wave and Schrödinger
systems with coercive polynomial nonlinearities are unique among distributional solutions …
systems with coercive polynomial nonlinearities are unique among distributional solutions …