3 papers
math.AP2026
Long-time Strichartz estimates on 3D waveguide with applications
Yangkendi Deng, Boning Di, Jiao Ma +2
We study long-time Strichartz estimates for the Schrödinger equation on waveguide manifolds, and use them to establish upper bounds on the growth of Sobolev norms for the nonlinear…
math.AP2024
Improved global well-posedness for the cubic NLS on two-dimensional waveguide $\R\times\T$
Qionglei Chen, Yilin Song, Kailong Yang +2
In this article, we show that the solution to defocusing cubic nonlinear Schrödinger equation (NLS) posed on the two-dimensional waveguide \begin{align*} i\partial_tu+Δ_{\R\times\T…
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…