Blow up dynamics for equivariant critical Schrödinger maps

Abstract

For the Schrödinger map problem from 2+1 dimensions into the 2-sphere we prove the existence of equivariant finite time blow up solutions that are close to a dynamically rescaled lowest energy harmonic map, the scaling parameter being given by $t^{-\nu }$ with $\nu >3/2$.

References in corpus (1)

• Global well-posedness for 2D radial Schrödinger maps into the sphere