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Title of Journal: Math Z

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Abbravation: Mathematische Zeitschrift

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Springer-Verlag

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DOI

10.1016/0140-6701(95)95968-8

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1432-1823

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Selfsimilar solutions for the Schrödinger map equ

Authors: Pierre Germain Jalal Shatah Chongchun Zeng
Publish Date: 2009/02/19
Volume: 264, Issue: 3, Pages: 697-707
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Abstract

We study in this article the equivariant Schrödinger map equation in dimension 2 from the Euclidean plane to the sphere A family of selfsimilar solutions is constructed this provides an example of regularity breakdown for the Schrödinger map These solutions do not have finite energy and hence do not fit into the usual framework for solutions For data of infinite energy but small in some norm we build up associated global solutions

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  19. Injectivity radius and diameter of the manifolds of flags in the projective planes
  20. On the invariant distributions of $$C^2$$ circle diffeomorphisms of irrational rotation number
  21. On Hörmander’s solution of the $$\bar{\partial }$$-equation. I
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  31. On newforms for Kohnen plus spaces
  32. Cumulants in noncommutative probability theory I. Noncommutative exchangeability systems
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