Scattering Below Critical Energy for the Radial 4D Yang-Mills Equation and for the 2D Corotational Wave Map System

Author:

Côte Raphaël,Kenig Carlos E.,Merle Frank

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference13 articles.

1. Bahouri H., Gérard P.: High frequency approximation of solutions to critical nonlinear wave equations. Amer. J. Math. 121, 131–175 (1999)

2. Cazenave T., Shatah J., Tahvildar-Zadeh A.S.: Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields. Ann. Inst. H. Poincaré Phys. Théor. 68(3), 315–349 (1998)

3. Côte R.: Instability of harmonic maps for the (1+2)-dimensional equivariant Wave map system. Int. Math. Res. Not. 57, 3525–3549 (2005)

4. Gérard P.: Description du défaut de compacité de l’injection de Sobolev. ESAIM Control Optim. Calc. Var. 3, 213–233 (1998) (electronic)

5. Kenig, C.E., Merle, F.: Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear wave equation. To appear, Acta. Math

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