17 citations · 31 across the 34 of their papers we have counts for
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Sharp embedding between Wiener amalgam and some classical spaces
Yufeng Lu
We establish the sharp conditions for the embedding between Wiener amalgam spaces and some classical spaces, including Sobolev spaces , local Hardy spaces $h_{…
Well-posedness of generalized KdV and one-dimensional fourth-order derivative nonlinear Schrödinger equations for data with an infinite 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…
Local smoothing estimates of fractional Schrödinger equations in -modulation spaces with some applications
Yufeng Lu
We show some new local smoothing estimates of the fractional Schrödinger equations with initial data in -modulation spaces via decoupling inequalities. Furthermore, our necessar…
Global Cauchy problems for the nonlocal (derivative) NLS in
Jie Chen, Yufeng Lu, Baoxiang Wang
We consider the Cauchy problem for the (derivative) nonlocal NLS in super-critical function spaces for which the norms are defined by $$ \|f\|_{E^s_σ} = \|\langleξ\rangle^σ…