The defocusing energy-critical Klein–Gordon–Hartree equation
نویسندگان
چکیده
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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is globally wellposed in time. More precisely, we obtain a unique solution u = uφ ∈ CH1([0,∞[) such that for all time, u(t) depends continuously on the data φ (in fact, the dependence is even real analytic here). Moreover, there is scattering for t→∞. The same statement holds for radial data φ ∈ H, s ≥ 1 and proves in particular global existence of classical solutions in the radially symmetric ...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2015
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm140-1-4