Equivariant wave maps from double-struck S sign2 × ℝ into double-struck S sign2 have smooth, stationary solutions which are critical points of the energy subject to constant charge. These solutions are globally stable under equivariant perturbations. Consequently, there exists a large set of initial data, with no degree or energy restrictions, for which the Cauchy problem is globally well-posed.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics