Long-time Strichartz estimates on 3D waveguide with applications

Fuente: arXiv
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Main Authors: Deng, Yangkendi, Di, Boning, Ma, Jiao, Yan, Dunyan, Yang, Kailong
Format: Preprint
Published: 2026
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_version_ 1866911404294930432
author Deng, Yangkendi
Di, Boning
Ma, Jiao
Yan, Dunyan
Yang, Kailong
author_facet Deng, Yangkendi
Di, Boning
Ma, Jiao
Yan, Dunyan
Yang, Kailong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_20392
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Long-time Strichartz estimates on 3D waveguide with applications
Deng, Yangkendi
Di, Boning
Ma, Jiao
Yan, Dunyan
Yang, Kailong
Analysis of PDEs
42B37, 35Q55, 35R01
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.
title Long-time Strichartz estimates on 3D waveguide with applications
topic Analysis of PDEs
42B37, 35Q55, 35R01
url https://arxiv.org/abs/2601.20392