Global existence for wave maps with torsion
Anco, Stephen C. ; Isenberg, James
arXiv, 0007032 / Harvested from arXiv
Wave maps (i.e. nonlinear sigma models) with torsion are considered in 2+1 dimensions. Global existence of smooth solutions to the Cauchy problem is proven for certain reductions under a translation group action: invariant wave maps into general targets, and equivariant wave maps into Lie group targets. In the case of Lie group targets (i.e. chiral models), a geometrical characterization of invariant and equivariant wave maps is given in terms of a formulation using frames.
Publié le : 2000-07-25
Classification:  Mathematical Physics,  Mathematics - Analysis of PDEs,  35Q, 35L70
@article{0007032,
     author = {Anco, Stephen C. and Isenberg, James},
     title = {Global existence for wave maps with torsion},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0007032}
}
Anco, Stephen C.; Isenberg, James. Global existence for wave maps with torsion. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0007032/