Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications
classification
🧮 math.AP
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anisotropicconstantequationgagliardo-nirenberg-typeinequalityapplicationapplicationsbenjamin-ono-zakharov-kuznetsov
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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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