4.5 Article

EQUIVARIANT SCHRODINGER MAPS IN TWO SPATIAL DIMENSIONS

Journal

DUKE MATHEMATICAL JOURNAL
Volume 162, Issue 11, Pages 1967-2025

Publisher

DUKE UNIV PRESS
DOI: 10.1215/00127094-2293611

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Funding

  1. National Science Foundation [DMS-1001676, DMS-1065710, DMS-0968742, DMS-080126]
  2. Miller Foundation
  3. Direct For Mathematical & Physical Scien [0801261] Funding Source: National Science Foundation
  4. Division Of Mathematical Sciences [0801261] Funding Source: National Science Foundation
  5. Division Of Mathematical Sciences
  6. Direct For Mathematical & Physical Scien [1301944] Funding Source: National Science Foundation

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We consider equivariant solutions for the Schrodinger map problem from R2+1 to S-2 with energy less than 4 pi and show that they are global in time and scatter.

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