activity
20002011
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations · 795 across the 25 of their papers we have counts for

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Showing 2007 · math.APShow all

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math.AP2007

Weighted Low-Regularity Solutions of the KP-I Initial Value Problem

J. Colliander, A. D. Ionescu, C. E. Kenig +1

In this paper we establish local well-posedness of the KP-I problem, with initial data small in the intersection of the natural energy space with the space of functions which are s…

math.AP2007

Weak uniqueness and partial regularity for the composite membrane problem

Sagun Chanillo, Carlos E. Kenig

We establish a generic weak uniqueness result and partial regularity of the free boundary and of minimizers for the composite membrane problem.