## Continuity of generalized wave maps on the sphere.(English)Zbl 1389.35230

Summary: We consider a generalization of wave maps based on the Adkins-Nappi model of nuclear physics. In particular, we show that solutions to this equation remain continuous at the origin, which is a first step towards establishing a regularity theory for this equation.

### MSC:

 35L70 Second-order nonlinear hyperbolic equations 81T13 Yang-Mills and other gauge theories in quantum field theory

### Keywords:

Cauchy problem; symmetry; smooth local solution
Full Text: