On bilinear Strichartz estimates on waveguides with applications

2024/02/05 by Deng, Yangkendi, Fan, Chenjie, Yang, Kailong +2 · 4 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/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.

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