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- Fermi National Accelerator LaboratoryUS214 papers
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5 papers · 2 filters
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…
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…
The explosion problem in a flow
Henri Berestycki, Alexander Kiselev, Alexei Novikov +1
We consider the explosion problem in an incompressible flow introduced in the paper of H. Berestycki, L. Kagan, G. Joulin and G. Sivashinsky. We use a novel estimate…
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.