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math.AP2024
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…
math.AP2024
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 .
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 Schrödinger equation on waveguides. As applications, we apply those estimates to study global well-p…