Blow up dynamics for equivariant critical Schr\"odinger maps

Galina Perelman

Blow up dynamics for equivariant critical Schr\"odinger maps

Analysis of PDEs 2013-01-01 v1

Authors: Galina Perelman

Abstract

For the Schr\"odinger 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 $\nu>3/2$ .

Keywords

Schrödinger maps blow up dynamics equivariant solutions harmonic maps finite time blow up scaling parameter

Cite

@article{arxiv.1212.6709,
  title  = {Blow up dynamics for equivariant critical Schr\"odinger maps},
  author = {Galina Perelman},
  journal= {arXiv preprint arXiv:1212.6709},
  year   = {2013}
}

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