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OverviewThe 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. Full Product DetailsAuthor: Ioan Bejenaru , Daniel TataruPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 228, 1069 Weight: 0.256kg ISBN: 9780821892152ISBN 10: 0821892150 Pages: 108 Publication Date: 30 April 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsIntroduction An outline of the paper The Coulomb gauge representation of the equation Spectral analysis for the operators H, H ~ ; the X,LX spaces The linear H ~ Schrödinger equation The time dependent linear evolution Analysis of the gauge elements in X,LX The nonlinear equation for ? The bootstrap estimate for the ? parameter The bootstrap argument The ?¹ instability result BibliographyReviewsAuthor InformationIoan Bejenaru, University of California, San Diego, La Jolla, CA. Daniel Tataru, University of California, Berkeley, Berkeley, CA. Tab Content 6Author Website:Countries AvailableAll regions |
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