23 citations · 242 across the 47 of their papers we have counts for
4 papers · 2 filters
On the analyticity of the nonlinear Fourier transform of the Benjamin-Ono equation on
P. Gérard, T. Kappeler, P. Topalov
We prove that the nonlinear Fourier transform of the Benjamin-Ono equation on , also referred to as Birkhoff map, is a real analytic diffeomorphism from the scale of So…
Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators
Thomas Kappeler, Riccardo Montalto
Near an arbitrary finite gap potential we construct real analytic, canonical coordinates for the Benjamin-Ono equation on the torus having the following two main properties: (1) up…
On smoothing properties and Tao's gauge transform of the Benjamin-Ono equation on the torus
Patrick Gérard, Thomas Kappeler, Peter Topalov
We prove smoothing properties of the solutions of the Benjamin-Ono equation in the Sobolev space for any . To this end we show that Tao's gau…
On the Benjamin-Ono equation on and its periodic and quasiperiodic solutions
Patrick Gérard, Thomas Kappeler, Petar Topalov
In this paper, we survey our recent results on the Benjamin-Ono equation on the torus. As an application of the methods developed we construct large families of periodic or quasipe…