Threshold solutions for the energy-critical NLS system with quadratic interaction
Abstract
In this paper, we study the Cauchy problem for a quadratic nonlinear Schr\"odinger system in dimension six. In~GaoMengXuZheng, the authors classified the behavior of solutions under the energy constraint E(u) < E(Q), where Q denotes the ground state. In this work, we classify the dynamics of radial solutions at the threshold energy E(u) = E(Q).
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