Yang-Mills-Higgs fields in three space time dimensions
Analyse globale et physique mathématique (Colloque à la mémoire d'Edmond Combet), Mémoires de la Société Mathématique de France, Série 2, no. 46 (1991), pp. 73-97.
@incollection{MSMF_1991_2_46__73_0,
     author = {Choquet-Bruhat, Yvonne},
     title = {Yang-Mills-Higgs fields in three space time dimensions},
     booktitle = {Analyse globale et physique math\'ematique (Colloque \`a la m\'emoire d'Edmond Combet)},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
     pages = {73--97},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {46},
     year = {1991},
     doi = {10.24033/msmf.355},
     mrnumber = {92i:58044},
     zbl = {0773.53036},
     url = {http://www.numdam.org/articles/10.24033/msmf.355/}
}
TY  - CHAP
AU  - Choquet-Bruhat, Yvonne
TI  - Yang-Mills-Higgs fields in three space time dimensions
BT  - Analyse globale et physique mathématique (Colloque à la mémoire d'Edmond Combet)
AU  - Collectif
T3  - Mémoires de la Société Mathématique de France
PY  - 1991
SP  - 73
EP  - 97
IS  - 46
PB  - Société mathématique de France
UR  - http://www.numdam.org/articles/10.24033/msmf.355/
DO  - 10.24033/msmf.355
ID  - MSMF_1991_2_46__73_0
ER  - 
%0 Book Section
%A Choquet-Bruhat, Yvonne
%T Yang-Mills-Higgs fields in three space time dimensions
%B Analyse globale et physique mathématique (Colloque à la mémoire d'Edmond Combet)
%A Collectif
%S Mémoires de la Société Mathématique de France
%D 1991
%P 73-97
%N 46
%I Société mathématique de France
%U http://www.numdam.org/articles/10.24033/msmf.355/
%R 10.24033/msmf.355
%F MSMF_1991_2_46__73_0
Choquet-Bruhat, Yvonne. Yang-Mills-Higgs fields in three space time dimensions, dans Analyse globale et physique mathématique (Colloque à la mémoire d'Edmond Combet), Mémoires de la Société Mathématique de France, Série 2, no. 46 (1991), pp. 73-97. doi : 10.24033/msmf.355. http://www.numdam.org/articles/10.24033/msmf.355/

F. Cagnac et Y. Choquet-Bruhat (1984). Solutions globales d'équations hyperboliques sur une variété, J. Math. pures et appl. 63, p. 377-390. | MR | Zbl

Y. Choquet-Bruhat and C. Dewitt-Morette (1982), Analysis, Manifolds and Physics, revised edition, North Holland ; and (1989), Analysis, Manifolds and Physics II, 92 Applications, North Holland. | MR | Zbl

Y. Choquet-Bruhat, D. Christodoulou, M. Francaviglia (1978), Cauchy data on manifold, Ann. I.H.P. 29 (3), p. 241. | Numdam | MR | Zbl

Y. Choquet-Bruhat and D. Christodoulou (1981), Existence of global solution of the Yang-Mills-Higgs and spinor field equations in 3 + 1 dimensions, Ann. de l'E.N.S., 4e série, 14, p. 481-500. | Numdam | MR | Zbl

Y. Choquet-Bruhat et I. E. Segal (1982), Solution globale des équations de Yang-Mills sur l'univers d'Einstein, C. R. Acad. Sc. Paris 294, p. 225-230. | MR | Zbl

D. Eardley and V. Moncrief (1982), The global existence of Yang-Mills Higgs fields in 4-dimensional Minkovski space, Comm. Math. Phys. 83, p. 171-212. | MR | Zbl

J. Ginibre et G. Velo (1981), The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge, Comm. Math. Phys. 82, p. 1-28. | MR | Zbl

J. Ginibre et G. Velo (1982), The Cauchy problem for coupled Yang-Mills and scalar fields in the Lorentz gauge, Ann. I. H. P. 36, p. 59-78. | Numdam | MR | Zbl

R. Glassey and W. Strauss (1981), Some global solutions of the Yang-Mills equations in Minkovski space, Comm. Math. Phys. 81, p. 171-188. | MR | Zbl

R. Kerner (1974), On the Cauchy problem for the Yang-Mills field equations, Ann. I. H. P. XX, n° 3, p. 279-283. | Numdam | MR | Zbl

Cf. also Y. Choquet-Bruhat (1979), The Cauchy problem for Einstein and Yang-Mills field, 2nd Congress Marcel Grossman, Triestre 1979, Ruffini ed.

J. Leray (1952), "Hyperbolic differential equations", Princeton.

I. E. Segal (1979), The Cauchy problem for the Yang-Mills equations, J. Funct. Anal. 33, n°2, p. 175-194. | MR | Zbl

F. Cagnac (1987), Espaces de Sobolev sur une variété hyperbolique, Annales Fac. Sc. Yaounda.

Y. Choquet-Bruhat (1983), Global solutions of hyperbolic equations of Gauge theories in "Relativity, Cosmology, Topological mass and Supergravity", C. Aragone ed. World Scientific.

Y. Choquet-Bruhat, S. Paneitz and I. E. Segal (1983), The Yang-Mills equations on the universal cosmos, J. of functional Analysis 53, n°2, p. 112-150. | MR | Zbl

Cité par Sources :