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arXiv · 1212.6709

Blow up dynamics for equivariant critical Schrödinger maps

Galina Perelman
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Abstract

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 $ν>3/2$.

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Galina Perelman. 2012-12-30. Blow up dynamics for equivariant critical Schrödinger maps. https://arxiv.org/abs/1212.6709

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