596 citations · 795 across the 25 of their papers we have counts for
4 papers · 1 filter
Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications
Carlos E. Kenig, Frank Merle
In this paper we establish optimal pointwise decay estimates for non-dispersive (compact) radial solutions to non-linear wave equations in 3 dimensions, in the energy supercritical…
Global Schrödinger maps
Ioan Bejenaru, Alexandru D. Ionescu, Carlos E. Kenig +1
We consider the Schrödinger map initial-value problem in dimension two or greater. We prove that the Schrödinger map initial-value problem admits a unique global smooth solution, p…
Asymptotic stability of solitons for the Benjamin-Ono equation
C. E. Kenig, Y. Martel
In this paper, we prove the asymptotic stability of the family of solitons of the Benjamin-Ono equation in the energy space. The proof is based on a Liouville property for solution…
Hardy's Uncertainty Principle, Convexity and Schrödinger Evolutions
L. Escauriaza, C. E. Kenig, G. Ponce +1
We prove the logarithmic convexity of certain quantities, which measure the quadratic exponential decay at infinity and within two characteristic hyperplanes of solutions of Schröd…