10 citations · 12 across the 2 of their papers we have counts for
2 papers
math.AP2020★ 10 cited
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…
math.AP2005★ 2 cited
Nonlinear Schrödinger equation on four-dimensional compact manifolds
P. Gérard, V. Pierfelice
We prove two new results about the Cauchy problem for nonlinear Schroedinger equations on four-dimensional compact manifolds. The first one concerns global wellposedness for Hartre…