596 citations · 821 across the 38 of their papers we have counts for
3 papers · 1 filter
Estimates of Eigenvalues and Eigenfunctions in Periodic Homogenization
Carlos E. Kenig, Fanghua Lin, Zhongwei Shen
For a family of elliptic operators with rapidly oscillating periodic coefficients, we study the convergence rates for Dirichlet eigenvalues and bounds of the normal derivatives of…
Energy partition for the linear radial wave equation
Raphael Cote, Carlos Kenig, Wilhelm Schlag
We consider the radial free wave equation in all dimensions and derive asymptotic formulas for the space partition of the energy relative to a light cone, as time goes to infinity.…
Scattering for radial, bounded solutions of focusing supercritical wave equations
Thomas Duyckaerts, Carlos Kenig, Frank Merle
In this paper, we consider the wave equation in space dimension 3 with an energy-supercritical, focusing nonlinearity. We show that any radial solution of the equation which is bou…