Qiuye Jia

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20242026

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math.AP2024

Strichartz estimates for the Schrödinger equation in high dimensional critical electromagnetic fields

Qiuye Jia, Junyong Zhang

We prove Strichartz estimates for the Schrödinger equation with scaling-critical electromagnetic potentials in dimensions $n \geq 3$ . The decay assumption on the magnetic potentials…

math.AP2024

The final state problem for the nonlinear Schrodinger equation in dimensions 1, 2 and 3

Andrew Hassell, Qiuye Jia

In this article we consider the defocusing nonlinear Schrödinger equation, with time-dependent potential, in space dimensions $n = 1, 2$ and $3$ , with nonlinearity $∣ u ∣^{p - 1} u$ , $p$ …

math.AP2024

Pointwise dispersive estimates for Schrodinger and wave equations in a conical singular space

Qiuye Jia, Junyong Zhang

We study the pointwise decay estimates for the Schrödinger and wave equations on a product cone $(X, g)$ , where the metric $g = d r^{2} + r^{2} h$ and $X = C (Y) = (0, \infty) \times Y$ is a produc…