Global existence for critical power Yang-Mills-Higgs equations in ℝ3+1

Communications in Partial Differential Equations

Volumn 22, Issue 7-8, 1997, Pages 1161-1225

  Keel, Markus ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039464240     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. D. Christodoulou and S. Klainerman. Asymptotic properties of linear field equations in Minkowski space. Comm. Pure and Appl. Math., pages 137-199, 1990.
2. D. Christodoulou and A. Tahvidar-Zadeh. On the regularity of spherically symmetric wave maps. Comm. Pure and Appl. Math., 43:1041-1091, 1993.
3. D. Costa and W. Strauss. Energy splitting. Quarterly of Applied Mathematics, pages 351-361, 1981.
4. 3+1. Comm. Math. Physics, 83:171-212, 1982.
5. R.T. Glassey and W.A. Strauss. Decay of a Yang-Mills Field coupled to a scalar field. Commun. Math. Physics, 67:51-67, 1979.
6. R.T. Glassey and W.A. Strauss. Decay of classical Yang-Mills Fields. Commun. Math. Physics, 65:1-13, 1979.
7. M. Grillakis. Regularity and asymptotic behavior of the wave equation with a critical nonlinearity. Ann. of Math, 132:485-509, 1990.
8. M. Grillakis. Regularity for the wave equation with a critical nonlinearity. Comm. Pure Appl. Math., 45:749-774, 1992.
9. L. Kapitanski. Global and unique weak solutions of nonlinear wave equations. Mathematical Research Letters, 1:211-223, 1994.
10. S. Klainerman and M. Machedon. Space-time estimates for null forms and the local existence theorem. Comm. Pure and Appl. Math., 46(9):1221-1268, 1993.
11. S. Klainerman and M. Machedon. On the Maxwell-Klein-Gordon equation with finite energy. Duke Math. Journal, 74(1):19-44, 1994.
12. S. Klainerman and M. Machedon. Finite energy solutions for the Yang-Mills equations. Annals of Math., 142:39-119, 1995.
13. P.D. Lax and R.S. Phillips. Scattering Theory. Academic Press, 1967.
14. B. Marshall. Mixed norm estimates for the Klein-Gordon equation. In Proc. Conf. Harmonic Anal. Antoni Zygmund, pages 638-652. Wardsworth, 1981.
15. C.S. Morawetz. The limiting amplitude principle. Comm. Pure Appl. Math., 15(3), 1963.
16. C.S. Morawetz. Exponential decay of solutions of the wave equation. Comm. Pure and Appl. Math., 19:439-444, 1966.
17. C.S. Morawetz. Time decay for the nonlinear Klein-Gordon equation. Proc. Roy. Soc. A., 306:291-296, 1968.
18. 5 Klein-Gordon equation. II. Anomalous singularities for semilinear wave equations. In H. Brezis and J.L. Lion, editors, Nonlinear Partial Differential Equations and Their Applications, Research Notes in Math vol 53, pages 335-364. Pitman, 1981.
19. H. Smith and C. Sogge. On the critical semilinear wave equation outside convex obstacles. J. Amer. Math. Soc., pages 879-916, 1995.
20. W Strauss. Decay and asymptotics for □u = F(u). J. Funct. Anal., 2:409-457, 1968.
21. W. Strauss. Nonlinear Wave Equations. Regional Conference Series in Math., 1989.
22. R. Strichartz. Restriction of the fourier transform to quadratic surfaces and decay of solutions of the wave equation. Duke Math. J., 44:705-714, 1977.
23. 5 Klein-Gordon equations. Ann. Scuola Norm. Sup. Pisa, 15:495-513, 1988.
24. M. Struwe and J. Shatah. Regularity results for nonlinear wave equations. Ann. of Math., 138:503-518, 1993.
25. M. Struwe and J. Shatah. Well posedness in the energy space for semilinear wave equations with critical growth. Inter. Math. Research Not., 7, 1994.
26. p bounds on curvature. Comm. Math. Physics, 83:31-42, 1982.
27. C. Wilcox. The initial-boundary value problem for the wave equation in an exterior domain with spherical boundary. Notices Amer. Math. Soc., 6, 1959.