6 papers
Sharp bilinear eigenfunction estimate, -type Strichartz estimate, and energy-critical NLS
Yangkendi Deng, Yunfeng Zhang, Zehua Zhao
We establish sharp bilinear eigenfunction estimates for the Laplace-Beltrami operator on the standard three-sphere , eliminating the logarithmic loss that has persist…
Sharp Strichartz estimate for Hyperbolic Schrödinger equation on
Yangkendi Deng, Chenjie Fan, Zehua Zhao
We prove the sharp Strichartz estimate without derivative loss for the hyperbolic Schrödinger equation on , \begin{equation} \|e^{it (\partial_{x…
On restricted-type Strichartz estimates and the applications
Yangkendi Deng, Han Wang, Yuzhao Wang +1
We establish a rigorous framework for the Zakharov system on waveguide manifolds (), which models the nonlinear coupling between optic…
Bilinear estimate for Schrödinger equation on
Yangkendi Deng, Boning Di, Chenjie Fan +1
We continue our study of bilinear estimates on waveguide started in \cite{DFYZZ2024,Deng2023}. The main point of the current article is, comparing to…
On bilinear Strichartz estimates on waveguides with applications
Yangkendi Deng, Chenjie Fan, Kailong Yang +2
We study local-in-time and global-in-time bilinear Strichartz estimates for the Schrödinger equation on waveguides. As applications, we apply those estimates to study global well-…
Dispersive decay for the mass-critical nonlinear Schrödinger equation
Chenjie Fan, Rowan Killip, Monica Visan +1
We prove dispersive decay, pointwise in time, for solutions to the mass-critical nonlinear Schrödinger equation in spatial dimensions .