Well-posedness for a coagulation multiple-fragmentation equation

In [18] this approach combined with estimates in Bourgain type spaces leads to a global well-posedness result in the energy space H 1/2 ( T ).. For a Banach space X, we denote by k ·

In view of the result of Kappeler and Topalov for KdV it thus appears that even if the dissipation part of the KdV-Burgers equation allows to lower the C ∞ critical index with

[11] A. Grünrock, Bi- and trilinear Schrödinger estimates in one space dimension with applications to cubic NLS and DNLS, International Mathematics Research Notices, 41 ,

Tzvetkov, Random data Cauchy theory for supercritical wave equations II: A global existence result, Invent. Tao, Ill-posedness for nonlinear Schr¨ odinger and wave

We now prove the existence of a stationary solution to (1.1) when the overall fragmentation rate a may be bounded for large sizes but does not decay to zero.. As in Lemma 7.1, the

The aim of this paper is to establish positive and negative optimal results on the local Cauchy problem in Sobolev spaces for the Korteweg-de Vries- Burgers (KdV-B) equation posed

Then to cope with the loss of regularity of the perturbation with respect to the background state due to the degeneracy of the equation, we apply the Nash-Moser-H¨ ormander iter-

By introducing a Bourgain space associated to the usual KPI equation (re- lated only to the dispersive part of the linear symbol in the KPBI equation), Molinet-Ribaud [14] had