Chenjie Fan

collaborators

3 papers

math.AP2025

Sharp $L^{4}$ Strichartz estimate for Hyperbolic SchrÃ¶dinger equation on $R \times T$

Yangkendi Deng, Chenjie Fan, Zehua Zhao

We prove the sharp $L^{4}$ Strichartz estimate without derivative loss for the hyperbolic SchrÃ¶dinger equation on $R \times T$ , \begin{equation} \|e^{it (\partial_{x…

math.AP2024

Bilinear estimate for SchrÃ¶dinger equation on $R \times T$

Yangkendi Deng, Boning Di, Chenjie Fan +1

We continue our study of bilinear estimates on waveguide $R \times T$ started in \cite{DFYZZ2024,Deng2023}. The main point of the current article is, comparing to…

math.AP2024

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 SchrÃ¶dinger equation on waveguides. As applications, we apply those estimates to study global well-…

Sharp L4 Strichartz estimate for Hyperbolic SchrÃ¶dinger equation on R×T

Bilinear estimate for SchrÃ¶dinger equation on R×T

On bilinear Strichartz estimates on waveguides with applications

Sharp $L^{4}$ Strichartz estimate for Hyperbolic SchrÃ¶dinger equation on $R \times T$

Bilinear estimate for SchrÃ¶dinger equation on $R \times T$