activity
20002009
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations · 784 across the 23 of their papers we have counts for

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Showing 2009 · math.APShow all

3 papers · 2 filters

math.AP2009

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…

math.AP2009

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…

math.AP2009

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…