23 citations · 242 across the 47 of their papers we have counts for
5 papers · 1 filter
On the wellposedness of the KdV equation on the space of pseudomeasures
Thomas Kappeler, Jan Molnar
In this paper we prove a wellposedness result of the KdV equation on the space of periodic pseudo-measures, also referred to as the Fourier Lebesgue space $\mathscr{F}\ell^{\infty}…
Canonical coordinates with tame estimates for the defocusing NLS equation on the circle
Thomas Kappeler, Riccardo Montalto
In a case study for integrable PDEs, we construct real analytic, canonical coordinates for the defocusing NLS equation on the circle, specifically taylored towards the needs in per…
On the wellposedness of the defocusing mKdV equation below
Thomas Kappeler, Jan-Cornelius Molnar
We prove that the renormalized defocusing mKdV equation on the circle is locally in time -wellposed on the Fourier Lebesgue space for any $2 < p < \inf…
On the extension of the frequency maps of the KdV and the KdV2 equations
Thomas Kappeler, Jan-Cornelius Molnar
In form of a case study for the KdV and the KdV2 equations, we present a novel approach of representing the frequencies of integrable PDEs which allows to extend them analytically…
Large KAM tori for perturbations of the dNLS equation
Massimiliano Berti, Thomas Kappeler, Riccardo Montalto
We prove that small, semi-linear Hamiltonian perturbations of the defocusing nonlinear Schrödinger (dNLS) equation on the circle have an abundance of invariant tori of any size and…