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Near Soliton Evolution for Equivariant Schrodinger Maps in Two Spatial Dimensions, Paperback / softback Book

Near Soliton Evolution for Equivariant Schrodinger Maps in Two Spatial Dimensions Paperback / softback

Part of the Memoirs of the American Mathematical Society series

Paperback / softback

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Description

The authors consider the Schrödinger Map equation in 2 1 dimensions, with values into S².

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.

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£71.00

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