Document Type
Article
Publication Date
5-1-2008
Publication Title
Proceedings of the American Mathematical Society
Abstract
We introduce a notion of wave maps with a target in the sub- Riemannian Heisenberg group and study their relation with Riemannian wave maps with range in Lagrangian submanifolds. As an application we establish existence and eventually ill-posedness of the corresponding Cauchy problem.
Keywords
Heisenberg group, Wave maps
Volume
136
Issue
5
First Page
1619
Last Page
1629
DOI
10.1090/S0002-9939-08-09302-7
ISSN
00029939
Recommended Citation
Capogna, Luca and Shatah, Jalal, "A Note on Ill-Posedness of the Cauchy Problem for Heisenberg Wave Maps" (2008). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/142
Comments
Peer reviewed accepted manuscript.