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 2008 · math.APShow all

3 papers · 2 filters

math.AP2008★ 8 cited

Global Schrödinger maps

Ioan Bejenaru, Alexandru D. Ionescu, Carlos E. Kenig +1

We consider the Schrödinger map initial-value problem in dimension two or greater. We prove that the Schrödinger map initial-value problem admits a unique global smooth solution, p…

math.AP2008★ 3 cited

Asymptotic stability of solitons for the Benjamin-Ono equation

C. E. Kenig, Y. Martel

In this paper, we prove the asymptotic stability of the family of solitons of the Benjamin-Ono equation in the energy space. The proof is based on a Liouville property for solution…

math.AP2008

Hardy's Uncertainty Principle, Convexity and Schrödinger Evolutions

L. Escauriaza, C. E. Kenig, G. Ponce +1

We prove the logarithmic convexity of certain quantities, which measure the quadratic exponential decay at infinity and within two characteristic hyperplanes of solutions of Schröd…