当前位置:
X-MOL 学术
›
Nonlinear Anal. Real World Appl.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On the inhomogeneous biharmonic nonlinear Schrödinger equation: Local, global and stability results
Nonlinear Analysis: Real World Applications ( IF 2 ) Pub Date : 2020-06-20 , DOI: 10.1016/j.nonrwa.2020.103174 Carlos M. Guzmán , Ademir Pastor
中文翻译:
关于非齐次双调和非线性Schrödinger方程:局部,整体和稳定性结果
更新日期:2020-06-23
Nonlinear Analysis: Real World Applications ( IF 2 ) Pub Date : 2020-06-20 , DOI: 10.1016/j.nonrwa.2020.103174 Carlos M. Guzmán , Ademir Pastor
We consider the inhomogeneous biharmonic nonlinear Schrödinger equation (IBNLS) where and , . We show local and global well-posedness in in the -subcritical case, with . Moreover, we prove a stability result in , in the mass-supercritical and energy-subcritical case. The fundamental tools to prove these results are the standard Strichartz estimates related to the linear problem.
中文翻译:
关于非齐次双调和非线性Schrödinger方程:局部,整体和稳定性结果
我们考虑非均匀双调和非线性Schrödinger方程(IBNLS) 哪里 和 , 。我们展示了本地和全球的良好定位 在里面 -次临界情况 。此外,我们证明了稳定性结果,在质量超临界和能量亚临界的情况下。证明这些结果的基本工具是与线性问题有关的标准Strichartz估计。