磁薛定谔方程的相互作用Morawetz估计及其应用
偏微分方程分析
2014-04-17 v2
摘要
我们在规范势满足某些小条件但具有几乎最优衰减的情况下，建立了维磁薛定谔方程的相互作用Morawetz估计。作为应用，我们证明了时三次散焦磁薛定谔方程在中的整体适定性和散射性。
引用
@article{arxiv.1112.4452,
title = {Interaction Morawetz estimate for the magnetic Schr\"odinger equation and applications},
author = {James Colliander and Magdalena Czubak and Jeonghun Lee},
journal= {arXiv preprint arXiv:1112.4452},
year = {2014}
}
备注
23 pages; Added some remarks in the introduction and more details in the proof of LWP and GWP, fixed typos. To appear in DIE