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math.AP2011★ 5 cited
Qualitative features of periodic solutions of KdV
T. Kappeler, B. Schaad, P. Topalov
In this paper we prove new qualitative features of solutions of KdV on the circle. The first result says that the Fourier coefficients of a solution of KdV in Sobolev space $H^N,\,…
math.AP2011
On the regularity of the composition of diffeomorphisms
Hasan Inci, Thomas Kappeler, Peter Topalov
For being a closed manifold or the Euclidean space we present a detailed proof of regularity properties of the composition of -regular diffeomorphisms of for $s > 1/2\…