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arXiv · 2012.10558

Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols

Hung Le
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Abstract

In this paper, we consider a class of nonlocal equations where the convolution kernel is given by a Bessel potential symbol of order $\alpha$ for $\alpha > 1$. Based on the properties of the convolution operator, we apply a global bifurcation technique to show the existence of a highest, even, $2\pi$-periodic traveling-wave solution. The regularity of this wave is proved to be exactly Lipschitz.

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Hung Le. 2020-12-19. Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols. https://arxiv.org/abs/2012.10558

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