Well-posedness for energy-critical nonlinear Schr\"odinger equation on waveguide manifold
Analysis of PDEs
2019-11-04 v1
Abstract
In this article, we utilize the scale-invariant Strichartz estimate on waveguide which is developed recently by Barron \cite{Barron} based on Bourgain-Demeter decoupling method \cite{BD} to give a unified and simpler treatment of well-posedness results for energy critical nonlinear Schr\"odinger equation on waveguide when the whole dimension is three and four.
Keywords
Cite
@article{arxiv.1911.00324,
title = {Well-posedness for energy-critical nonlinear Schr\"odinger equation on waveguide manifold},
author = {Xing Cheng and Zehua Zhao and Jiqiang Zheng},
journal= {arXiv preprint arXiv:1911.00324},
year = {2019}
}
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12 pages