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20012011
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations · 716 across the 19 of their papers we have counts for

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Showing 2011 · math.APShow all

3 papers · 2 filters

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…

math.AP2011

Blow-up behavior outside the origin for a semilinear wave equation in the radial case

F. Merle, H. Zaag

We consider the semilinear wave equation in the radial case with conformal subcritical power nonlinearity. If we consider a blow-up point different from the origin, then we exhibit…