Some global solutions of the Yang-Mills equations in Minkowski space. (English) Zbl 0496.35055


35L15 Initial value problems for second-order hyperbolic equations
81T08 Constructive quantum field theory
83A05 Special relativity
58D30 Applications of manifolds of mappings to the sciences
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[1] Costa, D., Strauss, W.: Energy Splitting. Q. Appl. Math. (to appear)
[2] Glassey, R., Strauss, W.: Commun. Math. Phys.65, 1-13 (1979) · Zbl 0402.35069
[3] Glassey, R., Strauss, W.: Commun. Math. Phys.67, 51-67 (1979) · Zbl 0425.35085
[4] Glassey, R., Strauss, W.: Propagation of the energy of Yang-Mills fields. In: Bifurcation Phenomena in Mathematical Physics and Related Topics pp. 231-241. Dordrecht: Reidel Publishing Co., 1980
[5] Moncrief, V.: Global existence of Maxwell-Klein-Gordon fields in (2 + 1)-dimensional spacetime. (to appear)
[6] Morawetz, C. S.: Proc. R. Soc.A306, 291-296 (1968)
[7] Prasad, M., Sommerfield, C.: Phys. Rev. Lett.35, 760-762 (1975)
[8] Reed, M.: Abstract nonlinear wave equations. In: Lecture Notes in Mathematics, Vol. 507. Berlin, Heidelberg, New York: Springer 1976 · Zbl 0317.35002
[9] Reed, M., Simon, B.: Methods of modern mathematical physics, Vol. II. New York: Academic Press 1975 · Zbl 0308.47002
[10] Segal, I. E.: Ann. Math.78, 339-364 1963 · Zbl 0204.16004
[11] Segal, I. E.: J. Funct. Anal.33, 175-194 1979 · Zbl 0416.58027
[12] Strauss, W.: Anais. Acad. Bras. Cienc.42, 645-651 (1970)
[13] Strauss, W.: Nonlinear invariant wave equations. In: Lecture Notes in Physics, Vol. 73, pp. 197-249 (Erice, 1977). Berlin, Heidelberg, New York: Springer 1978
[14] Taubes, C. H.: The existence of multi-monopole solutions to the static,SU (2) Yang-Mills-Higgs equations in the Prasad-Sommerfield limit. (to appear)
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