15 citations · 46 across the 11 of their papers we have counts for
4 papers · 1 filter
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 on compact manifolds . We prove the sharp - bound…
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 in the modulation space, where is not an integer. Our met…
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 , and use it to determine the crit…
Convex Hypersurfaces and Estimates for Schrödinger Equations
Quan Zheng, Xiaohua Yao, Da Fan
This paper is concerned with Schrödinger equations whose principal operators are homogeneous elliptic. When the corresponding level hypersurface is convex, we show the -…