Jiecheng Chen

most citedCauchy problem for NLKG in modulation spaces with noninteger powers

2 citations · 2 across the 4 of their papers we have counts for

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math.AP2024

A maximal oscillatory operator on compact manifolds

Ziyao Liu, Jiecheng Chen, Dashan Fan

This is a continuation of our previous research about an oscillatory integral operator $T_{α, β}$ on compact manifolds $M$ . We prove the sharp $H^{p}$ - $L^{p, \infty}$ bound…

math.AP2014★ 2 cited

Cauchy problem for NLKG in modulation spaces with noninteger powers

Huang Qiang, Fan Dashan, Chen Jiecheng

In this paper, we consider the Cauchy problem for the nonlinear Klein-Gordon equation whose nonlinearity is $∣ u ∣^{k} u$ in the modulation space, where $k$ is not an integer. Our met…

math.AP2014

Critical exponent for evolution equation in Modulation space

Huang Qiang, Fan Dashan, Chen Jiecheng

In this paper, we propose a method to find the critical exponent for certain evolution equations in modulation spaces. We define an index $σ (s, q)$ , and use it to determine the crit…