低频三维聚焦三次五次非线性Schrödinger方程的阈值解

IF 1.1 3区数学 Q2 MATHEMATICS, APPLIED Dynamics of Partial Differential Equations Pub Date : 2023-01-01 DOI:10.4310/dpde.2023.v20.n4.a1

Masaru Hamano, Hiroaki Kikuchi, Minami Watanabe

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Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrödinger equation at low frequencies

This paper addresses the focusing cubic-quintic nonlinear Schrodinger equation in three space dimensions. Especially, we study the global dynamics of solutions whose energy and mass equal to those of the ground state in the sprits of Duyckaerts and Merle (2009). When we try to obtain the corresponding result, we meet several difficulties due to the cubic-quintic nonlinearity. We overcome them by using the one-pass theorem (no return theorem) developed by Nakanishi and Schlag (2012).

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来源期刊

Dynamics of Partial Differential Equations 数学-应用数学

CiteScore

2.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes novel results in the areas of partial differential equations and dynamical systems in general, with priority given to dynamical system theory or dynamical aspects of partial differential equations.