Xianfa Song

activity

20052026

most citedLinking Theorems of Local Semiflows on Complete Metric Spaces

2 citations · 4 across the 15 of their papers we have counts for

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Showing 2021 · math.APShow all

2 papers · 2 filters

math.AP2021

$H_{x}^{s} \times H_{x}^{s}$ scattering theory for a weighted gradient system of 3D radial defocusing NLS

Xianfa Song

In this paper, using $I$ -method, we establish $H_{x}^{s} \times H_{x}^{s}$ scattering theories for the following Cauchy problem \begin{equation*} \left\{ \begin{array}{lll} iu_t+Δu=λ|v|^2u,…

math.AP2021★ 1 cited

Critical exponents line, scattering thoeries for a weighted gradient system of semilinear Schrodinger equations

Xianfa Song

We establish the local wellposedness of different type of solutions the system with different types of initial data. We find there exists a critical exponents line in space dimensi…

Hxs​×Hxs​ scattering theory for a weighted gradient system of 3D radial defocusing NLS

Critical exponents line, scattering thoeries for a weighted gradient system of semilinear Schrodinger equations

$H_{x}^{s} \times H_{x}^{s}$ scattering theory for a weighted gradient system of 3D radial defocusing NLS