Loading...
Thumbnail Image
Publication

On the Well-Posedness of the Wave Map Problem in High Dimensions

Abstract
We construct a gauge theoretic change of variables for the wave map from R × Rn into a compact group or Riemannian symmetric space, prove a new multiplication theorem for mixed Lebesgue-Besov spaces, and show the global well-posedness of a modified wave map equation - n ≥ 4 - for small critical initial data. We obtain global existence and uniqueness for the Cauchy problem of wave maps into compact Lie groups and symmetric spaces with small critical initial data and n ≥ 4.
Type
article
article
Date
2003-01-01
Publisher
Degree
Advisors
Rights
License
Research Projects
Organizational Units
Journal Issue
Embargo
DOI
Publisher Version
Embedded videos