Naijia Liu

activity

20222025

most citedLocal smoothing and Hardy spaces for Fourier integral operators on manifolds

1 citations · 1 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.AP2024

Global solutions to 3D quadratic nonlinear Schrödinger-type equation

Zihua Guo, Naijia Liu, Liang Song

We consider the Cauchy problem to the 3D fractional Schrödinger equation with quadratic interaction of $u u ˉ$ type. We prove the global existence of solutions and scattering pro…

math.CA2024

Spherical maximal functions and Hardy spaces for Fourier integral operators

Abhishek Ghosh, Naijia Liu, Jan Rozendaal +1

We use the Hardy spaces for Fourier integral operators to obtain bounds for spherical maximal functions in $L^{p} (R^{n})$ , $n \geq 2$ , where the radii of the spheres are res…