Mohandas Pillai

Near Soliton Evolution for 2-Equivariant Schrödinger Maps in Two Space Dimensions

We consider equivariant solutions for the Schrödinger Map equation in 2 + 1 2+1 dimensions, with values into S 2 \mathbb {S}^2 . Within each equivariance class m ∈ Z m \in \mathbb {Z} this admits a lowest energy nontrivial steady state Q m Q^m , which extends to a two dimensional...