Yufeng Lu

collaborators

2 papers

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…

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

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

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

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