On bilinear Strichartz estimates on waveguides with applications
arXiv:2402.02916
Abstract
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-posedness of nonlinear Schrödinger equations on these waveguides.
23 pages, 2 figures