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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