seminar:
Lorentz profiles and the cubic wave equation
speaker: Patrick Gérard
(Université Paris-Sud, Laboratoire de Mathématiques d'Orsay)
abstract:
We establish a profile decomposition of bounded sequences of the wave equation in the $H{12}$ regularity, and we discuss the role played by Lorentz transformations in this decomposition. Applications to the cubic wave equation are given.