596 citations · 784 across the 23 of their papers we have counts for
5 papers · 1 filter
Layer Potential Methods for Elliptic Homogenization Problems
Carlos Kenig, Zhongwei Shen
In this paper we use the method of layer potentials to study boundary value problems in a bounded Lipschitz domain for a family of second order elliptic systems with rapi…
Universality of blow-up profile for small radial type II blow-up solutions of energy-critical wave equation
Thomas Duyckaerts, Carlos Kenig, Frank Merle
Consider the energy critical focusing wave equation on the Euclidian space. A blow-up type II solution of this equation is a solution which has finite time of existence but stays b…
Weak Continuity of the Flow Map for the Benjamin-Ono Equation on the Line
Shangbin Cui, Carlos E. Kenig
In this paper we show that the floow map of the Benjamin-Ono equation on the line is weakly continuous in L2(R), using "local smoothing" estimates. L2(R) is believed to be a border…
Homogenization of Elliptic Boundary Value Problems in Lipschitz Domains
Carlos E. Kenig, Zhongwei Shen
In this paper we study the boundary value problems for in , where is a second order elliptic operato…
On the stability of certain spin models in 2+1 dimensions
I. Bejenaru, A. D. Ionescu, C. E. Kenig
We prove large-data local stability theorems for several spin models in two dimensions.