Article ID Journal Published Year Pages File Type
8898997 Journal of Differential Equations 2018 31 Pages PDF
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]s−scscE[u0]M[Q]s−scsc‖Q‖H˙s2, 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
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