A continuity argument for a semilinear Skyrme model

Abstract

We investigate a semilinear modification for the wave map problem proposed by Adkins and Nappi [1], and prove that in the equivariant case the solution remain continuous at the first possible singularity. This is usually one of the steps in proving existence of global smooth solutions for certain equations.

Keywords

• Wave map
• Skyrme model
• global solutions