596 citations · 795 across the 25 of their papers we have counts for
4 papers · 1 filter
Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system
Raphael Cote, Carlos E. Kenig, Frank Merle
We describe the asymptotic behavior as time goes to infinity of solutions of the 2 dimensional corotational wave map system and of solutions to the 4 dimensional, radially symmetri…
Weighted Low-Regularity Solutions of the KP-I Initial Value Problem
J. Colliander, A. D. Ionescu, C. E. Kenig +1
In this paper we establish local well-posedness of the KP-I problem, with initial data small in the intersection of the natural energy space with the space of functions which are s…
Global well-posedness of the KP-I initial-value problem in the energy space
A. D. Ionescu, C. E. Kenig, D. Tataru
We prove that the KP-I initial value problem is globally well-posed in the natural energy space of the equation.
Weak uniqueness and partial regularity for the composite membrane problem
Sagun Chanillo, Carlos E. Kenig
We establish a generic weak uniqueness result and partial regularity of the free boundary and of minimizers for the composite membrane problem.