The authors consider the Schrodinger Map equation in 2 1 dimensions, with values into S�. This admits a lowest energy steady state Q , namely the stereographic projection, which extends to a two dimensional family of steady states by scaling and rotation. The authors prove that Q is unstable in the energy space ?'. However, in the process of proving this they also show that within the equivariant class Q is stable in a stronger topology XC?'.
Ioan Bejenaru , University of California, San Diego, La Jolla, CA. Daniel Tataru , University of California, Berkeley, Berkeley, CA.