Beckner, William (ed.) et al., Harmonic analysis at Mount Holyoke. Proceedings of an AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, South Hadley, MA, USA, June 25–July 5, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2903-3/pbk). Contemp. Math. 320, 295-322 (2003).
This is a survey article presenting mainly the results of A. R. Nahmod, A. Stefanov
and K. Uhlenbeck
[Commun. Pure Appl. Math. 56, No. 1, 114–151 (2003; Zbl 1028.58018
)] and A. R. Nahmod, A. Stefanov, K. Uhlenbeck
[Commun. Anal. Geom. 11, 49–83 (2003)]. The subject are Schrödinger maps and wave maps (which are two different hyperbolic versions of harmonic maps) from Minkowski space into compact Riemannian manifolds. The survey focusses on the results and stresses similarities in the methods used, including methods from harmonic analysis and gauge theory.
|42B35||Function spaces arising in harmonic analysis|
|58J45||Hyperbolic partial differential equations on manifolds|