Yufeng Lu

activity

20132026

most citedGeometry of weighted Lorentz-Finsler manifolds I: Singularity theorems

17 citations · 31 across the 34 of their papers we have counts for

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Showing 2022 · math.APShow all

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math.AP2022★ 2 cited

Well-posedness of generalized KdV and one-dimensional fourth-order derivative nonlinear Schrödinger equations for data with an infinite $L^{2}$ norm

Yufeng Lu

We study the Cauchy problem for the generalized KdV and one-dimensional fourth-order derivative nonlinear Schrödinger equations, for which the global well-posedness of solutions wi…

math.AP2022

Local smoothing estimates of fractional Schrödinger equations in $α$ -modulation spaces with some applications

Yufeng Lu

We show some new local smoothing estimates of the fractional Schrödinger equations with initial data in $α$ -modulation spaces via decoupling inequalities. Furthermore, our necessar…

math.AP2022

Global Cauchy problems for the nonlocal (derivative) NLS in $E_{σ}^{s}$

Jie Chen, Yufeng Lu, Baoxiang Wang

We consider the Cauchy problem for the (derivative) nonlocal NLS in super-critical function spaces $E_{σ}^{s}$ for which the norms are defined by $$ \|f\|_{E^s_σ} = \|\langleξ\rangle^σ…

Well-posedness of generalized KdV and one-dimensional fourth-order derivative nonlinear Schrödinger equations for data with an infinite L2 norm

Local smoothing estimates of fractional Schrödinger equations in α-modulation spaces with some applications

Global Cauchy problems for the nonlocal (derivative) NLS in Eσs​

Well-posedness of generalized KdV and one-dimensional fourth-order derivative nonlinear Schrödinger equations for data with an infinite $L^{2}$ norm

Local smoothing estimates of fractional Schrödinger equations in $α$ -modulation spaces with some applications

Global Cauchy problems for the nonlocal (derivative) NLS in $E_{σ}^{s}$