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math.AP2023
Hölder continuity of functions in the fractional Sobolev spaces: 1-dimensional case
Yan Rybalko
This paper deals with the embedding of the Sobolev spaces of fractional order into the space of Hölder continuous functions. More precisely, we show that the function $f\in H^s(\ma…
math.AP2023★ 2 cited
On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system
Kenneth Karlsen, Yan Rybalko
We investigate the Cauchy problem for a nonlocal (two-place) FORQ equation. By interpreting this equation as a special case of a two-component peakon system (exhibiting a cubic non…