2 papers
math.CA2023
Some new decay estimates for -dimensional degenerate oscillatory integral operators
Yuxin Tan, Shaozhen Xu
In this paper, we consider the dimensional oscillatory integral operators with cubic homogeneous polynomial phases, which are degenerate in the sense of \cite{Tan06}. We im…
math.AP2023
On the bilinear estimate of Ozawa and Rogers for the one-dimensional Klein-Gordon equation and some related lower Jacobian estimates
Shirong Chen, Yi C. Huang, Shaozhen Xu
We give a natural convexity proof of an elementary inequality used by Ozawa and Rogers in proving their bilinear estimate for the one-dimensional Klein-Gordon equation. This robust…