@article{ASENS_1981_4_14_4_481_0,
author = {Choquet-Bruhat, Yvonne and Christodoulou, Demetrios},
title = {Existence of global solutions of the {Yang-Mills,} {Higgs} and spinor field equations in $3+1$ dimensions},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {481--506},
publisher = {Elsevier},
volume = {Ser. 4, 14},
number = {4},
year = {1981},
doi = {10.24033/asens.1417},
mrnumber = {84c:81041},
zbl = {0499.35076},
language = {en},
url = {http://archive.numdam.org/articles/10.24033/asens.1417/}
}
TY - JOUR AU - Choquet-Bruhat, Yvonne AU - Christodoulou, Demetrios TI - Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions JO - Annales scientifiques de l'École Normale Supérieure PY - 1981 SP - 481 EP - 506 VL - 14 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1417/ DO - 10.24033/asens.1417 LA - en ID - ASENS_1981_4_14_4_481_0 ER -
%0 Journal Article %A Choquet-Bruhat, Yvonne %A Christodoulou, Demetrios %T Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions %J Annales scientifiques de l'École Normale Supérieure %D 1981 %P 481-506 %V 14 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1417/ %R 10.24033/asens.1417 %G en %F ASENS_1981_4_14_4_481_0
Choquet-Bruhat, Yvonne; Christodoulou, Demetrios. Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 14 (1981) no. 4, pp. 481-506. doi : 10.24033/asens.1417. http://archive.numdam.org/articles/10.24033/asens.1417/
[1] , and , J. Diff. Geometry, 3, 1969, p. 379-392. | MR | Zbl
[2] , J. Diff. Geometry (à paraître).
[3] , Appl. Anal., 3, 1973, p. 377-402. | MR | Zbl
[4] , The Cauchy Problem for Einstein and Yand-Mills field equations, Marcel Grossmann meeting 1979, proceedings to appear.
[5] , Comptes rendus Acad. Sc., Paris, t. 292, 1981, p. 153. | MR | Zbl
[6] and , Elliptic Systems in Hilbert Spaces on Manifold which are Euclidean at Infinity (Acta Matem. 146, p. 129-150 1981). See also C. R. Acad. Sc, Paris, 290, 1980, p. 781 for a version of this paper in French. | MR | Zbl
[7] , and , Ann. Inst. Henri-Poincaré, 29, n° 3, 1978. | Numdam | MR | Zbl
[8] and , Analysis Manifolds and Physics, 2nd edition, North Holland, 1981.
[9] , Comptes rendus Acad. Sc., Paris, T. 292, 1981.
[10] , J. Maths pures et appl., 1981, p. 99. | Zbl
[11] and , The Global Existence of Yanf Mills Fields in 4 Dimensional Space Time. I, Local Existence and Smoothness Properties; II, Global Existence (to appear).
[12] and , J. Maths Phys., 20, (3), 1979, p. 454-458. | MR
[13] and , Commun. Math. Phys., 65, 1979, p. 1-13. | MR | Zbl
[14] and , Commun. Math. Phys., 67, 1979, p. 51-67. | MR | Zbl
[15] and , The Cauchy Problem for Coupled Yang-Mills and Scalar fields in the Temporal Gauge, Orsay preprint, 1981 ; See also Phys. Lett. 99 B 1981, p. 405.
[16] , and , Arch. Rat. Mech. and Anal., t. 63, 1976, p. 276-294. | MR | Zbl
[17] , Ann. Inst. Henri-Poincaré, vol. XX, n° 3, 1974, p. 279-283. | Numdam | MR | Zbl
[18] , I.A.S., Princeton, 1952.
[19] , Bull. Soc. Maths, 92, 1964, p. 11-100 ; Ann. Inst. Henri-Poincaré, I, n° 3, 1964, p. 233-290. | Numdam | Zbl
[20] J. Math. Phys., 21, (8), 1980, p. 2291-2296.
[21] and , J. Math. Anal. Appl., 42, 1973, p. 271. | MR | Zbl
[22] , in Battelle Rencontres, and , Eds, Benjamin, 1967.
[23] , Bull. Soc. Math, 91, 1963, p. 129-135. | Numdam | MR | Zbl
[24] , J. Funct. Analysis, 1980.
[25] , Mathematical Cosmology and Extragalactic Astronomy, Acad. Press, 1976. | MR
Cité par Sources :
