6 papers
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_…
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…
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…
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 .
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-p…