3 Review(s)

The authors consider the Schroedinger Map equation in 2 1 dimensions, with values into S (2). 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 ? (1). However, in the process of proving this they also show that within the equivariant class Q is stable in a stronger topology XC? (1).