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math.APNov 10, 2022
4
citations (OpenAlex)
authors
  • Eugene Eyeson
  • Silvino Reyes Farina
  • Armin Schikorra
institutions
  • University of Pittsburgh
arXiv abstractPDF
paper

On uniqueness for half-wave maps in dimension d >= 3

arXiv:2211.05652 · doi:10.1090/btran/171

Abstract

Extending an argument by Shatah and Struwe we obtain uniqueness for solutions of the half-wave map equation in dimension d≥3 in the natural energy class.

References in corpus (8)

  • Global regularity of wave maps II. Small energy in two dimensions
  • Sharp commutator estimates via harmonic extensions
  • ε-regularity for systems involving non-local, antisymmetric operators
  • On energy-critical half-wave maps into S2
  • A Lax Pair Structure for the Half-Wave Maps Equation
  • A T(1) theorem for fractional Sobolev spaces on domains
  • Multi-solitons of the half-wave maps equation and Calogero-Moser spin-pole dynamics
  • Global Well-Posedness For Half-Wave Maps With S2 and H2 Targets For Small Smooth Initial Data
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