Global well-posedness and scattering for the energy-critical, defocusing Hartree equation in R
نویسندگان
چکیده
We obtain global well-posedness, scattering, uniform regularity, and global L t L 6n 3n−8 x spacetime bounds for energy-space solutions to the defocusing energycritical nonlinear Hartree equation in R× R, n ≥ 5.
منابع مشابه
Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data
We consider the defocusing, ˙ H 1-critical Hartree equation for the radial data in all dimensions (n ≥ 5). We show the global well-posedness and scattering results in the energy space. The new ingredient in this paper is that we first take advantage of the term − I |x|≤A|I| 1/2 |u| 2 ∆ 1 |x| dxdt in the localized Morawetz identity to rule out the possibility of energy concentration, instead of ...
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