Long-time Strichartz estimates on 3D waveguide with applications

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Yangkendi Deng, Boning Di, Jiao Ma, Dunyan Yan, Kailong Yang
DOI: 10.48550/arxiv.2601.20392
Cited by: 0

Abstract

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 Schrödinger equation on three-dimensional waveguides.

Fields of Study & Subjects

Advanced Mathematical Physics Problems Nonlinear Partial Differential Equations Spectral Theory in Mathematical Physics

Publication details

Journal / source
arXiv (Cornell University)
Publication date
28 January 2026
Document type
Preprint