Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898997 | Journal of Differential Equations | 2018 | 31 Pages |
Abstract
We consider the fractional Hartree equation in the L2-supercritical case, and find a sharp threshold of the scattering versus blow-up dichotomy for radial data: If M[u0]sâscscE[u0]M[Q]sâscscâQâHËs2, the solution u(t) blows up in finite time. This condition is sharp in the sense that the solitary wave solution eitQ(x) is global but not scattering, which satisfies the equality in the above conditions. Here, Q is the ground-state solution for the fractional Hartree equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Qing Guo, Shihui Zhu,