69 citations · 231 across the 19 of their papers we have counts for
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math.AP2011
Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map
Frank Merle, Pierre Raphaël, Igor Rodnianski
We consider the energy critical Schrödinger map problem with the 2-sphere target for equivariant initial data of homotopy index . We show the existence of a codimension one se…
math.AP2011★ 13 cited
Effective limiting absorption principles, and applications
Igor Rodnianski, Terence Tao
We investigate quantitative (or effective) versions of the limiting absorption principle, for the Schrödinger operator on asymptotically conic manifolds with short-range potentials…
math.AP2011★ 15 cited
Blow up dynamics for smooth data equivariant solutions to the energy critical Schrodinger map problem
Frank Merle, Pierre Raphael, Igor Rodnianski
We consider the energy critical Schrodinger map to the 2-sphere for equivariant initial data of homotopy number k=1. We show the existence of a set of smooth initial data arbitrari…