Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system

Details Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system

2007-09-20

arxiv.org/abs/0709.3222v1

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s00220-008-0604-4

We describe the asymptotic behavior as time goes to infinity of solutions of the 2 dimensional corotational wave map system and of solutions to the 4 dimensional, radially symmetric Yang-Mills equation, in the critical energy space, with data of energy smaller than or equal to a harmonic map of minimal energy. An alternative holds: either the data is the harmonic map and the soltuion is constant in time, or the solution scatters in infinite time.

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