论文标题
与偶性相互作用的批量智能NLS散射
Scattering of the energy-critical NLS with dipolar interaction
论文作者
论文摘要
In this paper, we investigate the global well-posedness and $H^{1}$ scattering theory for a 3d energy-critical Schrödinger equation under the influence of magnetic dipole interaction $λ_{1}|u|^{2}u+λ_{2}(K\ast|u|^{2})u$, where $K$ is the dipole-dipole interaction kernel.我们的全球适应性结果证明是基于张的论点[23]。此外，采用Killip-OH-Pocovnicu-Visan的能量技术诱导[20]，我们获得了散射条件。
In this paper, we investigate the global well-posedness and $H^{1}$ scattering theory for a 3d energy-critical Schrödinger equation under the influence of magnetic dipole interaction $λ_{1}|u|^{2}u+λ_{2}(K\ast|u|^{2})u$, where $K$ is the dipole-dipole interaction kernel. Our proof of global well-posedness result is based on the argument of Zhang [23]. Moreover, adopting the induction of energy technique of Killip-Oh-Pocovnicu-Visan [20], we obtain a condition for scattering.
