Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications
Analysis of PDEs
2017-02-22 v1
Abstract
In this paper we establish the best constant of an anisotropic Gagliardo-Nirenberg-type inequality related to the Benjamin-Ono-Zakharov-Kuznetsov equation. As an application of our results, we prove the uniform bound of solutions for such a equation in the energy space.
Keywords
Cite
@article{arxiv.1702.06222,
title = {Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications},
author = {Amin Esfahani and Ademir Pastor},
journal= {arXiv preprint arXiv:1702.06222},
year = {2017}
}
Comments
To appear in Bull. Braz. Math. Soc