Blow up dynamics for equivariant critical Schrödinger maps

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 $t^{-ν}$ with $ν>3/2$.

No reviews yet.

No comments yet.