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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★ 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…