论文标题
与Kirchhoff边界条件的星形图上远程非线性Schrödinger方程的渐近行为
Asymptotic behavior for the long-range nonlinear Schrödinger equation on star graph with the Kirchhoff boundary condition
论文作者
论文摘要
我们考虑具有Kirchhoff边界条件的星形图上的立方非线性Schrödinger方程。我们证明了最终状态问题和初始值问题的修改散射。此外，我们还考虑了具有功率类型的远程非线性的schrödinger方程的散射失败。这些结果是NLS在一维欧几里得空间上的结果扩展。
We consider the cubic nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition. We prove modified scattering for the final state problem and the initial value problem. Moreover, we also consider the failure of scattering for the Schrödinger equation with power-type long-range nonlinearities. These results are extension of the results for NLS on the one dimensional Euclidean space.
