Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications

Published 21 Feb 2017 in math.AP | (1702.06222v1)

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.

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