84 citations · 145 across the 14 of their papers we have counts for
14 papers
Complex-valued modified Zakharov Kuznetsov equation
Carlos E. Kenig, Nataša Pavlović, Gigliola Staffilani +1
Motivated by the introduction of the Zakharov-Kuznetsov equation as a higher dimensional generalization of the Korteweg-de Vries equation, in this paper we introduce the modified Z…
Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions
Guher Camliyurt, Carlos E. Kenig
We consider the focusing wave equation with energy supercritical nonlinearity in dimension four. We prove that any radial solution that remains bounded in the critical Sobolev spac…
Well-posedness and invariant measures for complex valued modified KdV equation
Carlos E. Kenig, Andrea R. Nahmod, Nataša Pavlović +2
We consider the one dimensional periodic complex valued mKdV, which corresponds to the first equation above cubic NLS in the associated integrable hierarchy. Our main result is the…
On the fractional Schödinger equation with variable coefficients
C. E. Kenig, D. Pilod, G. Ponce +1
We study the initial value problem (IVP) associated to the semi-linear fractional Schödinger equation with variable coefficients. We deduce several properties of the anisotropic fr…
Hardy Uncertainty Principle, Convexity and Parabolic Evolutions
L. Escauriaza, C. E. Kenig, G. Ponce +1
We give a new proof of the version of Hardy's uncertainty principle based on calculus and on its dynamical version for the heat equation. The reasonings rely on new log-conve…
Unique Continuation for Schrödinger Evolutions, with applications to profiles of concentration and traveling waves
L. Escauriaza, C. E. Kenig, G. Ponce +1
We prove unique continuation properties for solutions of the evolution Schrödinger equation with time dependent potentials. As an application of our method we also obtain results c…