596 citations · 821 across the 38 of their papers we have counts for
6 papers · 1 filter
Soliton resolution for the radial critical wave equation in all odd space dimensions
Thomas Duyckaerts, Carlos E. Kenig, Frank Merle
Consider the energy-critical focusing wave equation in odd space dimension . The equation has a nonzero radial stationary solution , which is unique up to scaling and s…
Decay estimates for nonradiative solutions of the energy-critical focusing wave equation
Thomas Duyckaerts, Carlos E. Kenig, Frank Merle
Consider the energy-critical focusing wave equation in space dimension . The equation has a nonzero radial stationary solution , which is unique up to scaling and sign…
Propagation of smallness in elliptic periodic homogenization
Carlos Kenig, Jiuyi Zhu
The paper is mainly concerned with an approximate three-ball inequality for solutions in elliptic periodic homogenization. We consider a family of second order operators $\mathcal{…
Exterior energy bounds for the critical wave equation close to the ground state
Thomas Duyckaerts, Carlos E. Kenig, Frank Merle
By definition, the exterior asymptotic energy of a solution to a wave equation on is the sum of the limits as of the energy in the the exterior…
The focusing energy-critical nonlinear wave equation with random initial data
Carlos Kenig, Dana Mendelson
We consider the focusing energy-critical quintic nonlinear wave equation in three dimensional Euclidean space. It is known that this equation admits a one-parameter family of radia…
Uniqueness Properties of Solutions to the Benjamin-Ono equation and related models
Carlos E. Kenig, Gustavo Ponce, Luis Vega
We prove that if are solutions of the Benjamin-Ono equation defined in which agree in an open set , then $u_1\equiv…