具有二次相互作用的非线性薛定谔方程组的爆破解  

Explosive Solution of Nonlinear Schr?dinger Equations with Quadratic Interactions

作　　者：涂佳宝 

机构地区：[1]上海理工大学理学院,上海

出　　处：《理论数学》2023年第5期1289-1297,共9页Pure Mathematics

摘　　要：本文研究了具有一般二次型非线性的薛定谔方程组的爆破结果。我们证明了六维圆柱对称的有限时间爆破解。主要研究方法是基于非质量共振条件下的圆柱对称维里估计。In this paper, we study the blow-up results of Schrödinger’s equations with general quadratic non-linearity. We prove the finite-time blow-up solution of Six-dimensional cylindrical symmetry. The main research method is based on the virial estimation of cylindrical symmetry under the condition of massless resonance.

关 键 词：爆破解 圆柱对称 非线性薛定谔方程 

分 类 号：O17[理学—数学]