5 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_…
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…
On profile decomposition for Airy type equation
Boning Di, Chenjie Fan, Dunyan Yan
We study the linear profile decomposition for the Airy type equation, where the associated Strichartz inequality corresponds to the Fourier extension inequality on the odd curve $ξ…