23 citations · 242 across the 47 of their papers we have counts for
4 papers · 2 filters
On the stability of periodic multi-solitons of the KdV equation
Thomas Kappeler, Riccardo Montalto
In this paper we obtain the following stability result for periodic multi-solitons of the KdV equation: We prove that under any given semilinear Hamiltonian perturbation of small s…
Localisation for the torsion function and the strong Hardy inequality
Michiel van den Berg, Thomas Kappeler
Two-sided bounds for the efficiency of the torsion function are obtained in terms of the square of the distance to the boundary function under the hypothesis that the Dirichlet Lap…
Sharp well-posedness results of the Benjamin-Ono equation in and qualitative properties of its solution
P. Gérard, T. Kappeler, P. Topalov
We prove that the Benjamin--Ono equation on the torus is globally in time well-posed in the Sobolev space for any and ill-posed for $s \l…
Arnold-Liouville theorem for integrable PDEs: a case study of the focusing NLS equation
Thomas Kappeler, Peter Topalov
We prove an infinite dimensional version of the Arnold-Liouville theorem for integrable non-linear PDEs: In a case study we consider the {\em focusing} NLS equation with periodic b…