2 papers
math.DG2024
Fourier integral operators on Hardy spaces with Hormander class
Xiaofeng Ye, Chunjie Zhang, Xiangrong Zhu
In this note, we consider a Fourier integral operator defined by \begin{align*} T_{ϕ,a}f(x) = \int_{\mathbb{R}^{n}}e^{iϕ(x,ξ)}a(x,ξ)\widehat{f} ξ)dξ, \end{align*}here is the am…
math.AP2016
Pointwise convergence of solution to Schrodinger equation on manifolds
Xing Wang, Chunjie Zhang
Let be a Riemannian manifold without boundary. We study the amount of initial regularity is required so that the solution to free Schrödinger equation converges pointwise…