Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols
Journal article
Submitted version
Date
2022Metadata
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- Institutt for matematiske fag [2570]
- Publikasjoner fra CRIStin - NTNU [38926]
Abstract
In this paper, we consider a class of nonlocal equations where the convolution kernel is given by a Bessel potential symbol of order α for α>1. Based on the properties of the convolution operator, we apply a global bifurcation technique to show the existence of a highest, even, 2π-periodic traveling-wave solution. The regularity of this wave is proved to be exactly Lipschitz.