On the well-posedness of the wave map problem in high dimensions
| dc.creator | Nahmod, Andrea | |
| dc.creator | Stefanov, Atanas | |
| dc.creator | Uhlenbeck, Karen | |
| dc.date | 2001-09-26 | |
| dc.date.accessioned | 2026-07-07T04:43:33Z | |
| dc.date.available | 2026-07-07T04:43:33Z | |
| dc.description | We construct a gauge theoretic change of variables for the wave map from $R \times R^n$ 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 - $n \ge 4$ - for small critical initial data. We obtain global existence and uniqueness for the Cauchy problem of wave maps into {\it compact} Lie groups and symmetric spaces with small critical initial data and $n \ge 4$. | |
| dc.identifier | https://arxiv.org/abs/math/0109212 | |
| dc.identifier | http://arxiv.org/abs/math/0109212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62270 | |
| dc.subject | Analysis of PDEs | |
| dc.title | On the well-posedness of the wave map problem in high dimensions | |
| dc.type | text |