12 citations · 23 across the 4 of their papers we have counts for
4 papers · 1 filter
Quantitative unique continuation, logarithmic convexity of Gaussian means and Hardy's uncertainty principle
Carlos E. Kenig
In this paper we describe some recent works on quantitative unique continuation for elliptic, parabolic and dispersive equations. The elliptic results are joint work with J.Bourgai…
Regularity of the minimizers in the composite membrane problem in R^2
Sagun Chanillo, Carlos E. Kenig, Tung TO
We study the regularity of minimizers to the composite membrane problem in the plane (ie given a domain omega and a positive number A, smaller than the measure of omega, minimize t…
Scattering for H^1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions
Carlos E. Kenig, Frank Merle
We show that if a solution of the defocusing cubic NLS in 3d remains bounded in the homogeneous Sobolev norm of order 1/2 in its maximal interval of existence, then the interval is…
Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions
Carlos E. Kenig, David Preiss, Tatiana Toro
In this work we introduce the use of powerful tools from geometric measure theory (GMT) to study problems related to the size and structure of sets of mutual absolute continuity fo…