23 citations · 47 across the 5 of their papers we have counts for
7 papers
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}…
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…
The mKdV and NLS hierarchies revisited
Jan-Cornelius Molnar, Yannick Widmer
The purpose of this paper is to express the entire hierarchy of mKdV vector fields as restrictions of vector fields in the NLS hierarchy. The result is proved using the normal form…
On the convexity of the KdV Hamiltonian
Thomas Kappeler, Alberto Maspero, Jan-Cornelius Molnar +1
We prove that the nonlinear part of the KdV Hamiltonian , when expressed in action variables , extends to a real analytic function on the pos…
On Two-Sided Estimates for the Nonlinear Fourier Transform of KdV
Jan-Cornelius Molnar
The KdV-equation on the circle admits a global nonlinear Fourier transform, also known as Birkhoff map, linearizing the KdV flow. The regularity properties…