@article{AIHPA_1998__68_3_315_0,
author = {Cazenave, Thierry and Shatah, Jalal and Tahvildar-Zadeh, A. Shadi},
title = {Harmonic maps of the hyperbolic space and development of singularities in wave maps and {Yang-Mills} fields},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {315--349},
publisher = {Gauthier-Villars},
volume = {68},
number = {3},
year = {1998},
mrnumber = {1622539},
zbl = {0918.58074},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1998__68_3_315_0/}
}
TY - JOUR AU - Cazenave, Thierry AU - Shatah, Jalal AU - Tahvildar-Zadeh, A. Shadi TI - Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields JO - Annales de l'I.H.P. Physique théorique PY - 1998 SP - 315 EP - 349 VL - 68 IS - 3 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1998__68_3_315_0/ LA - en ID - AIHPA_1998__68_3_315_0 ER -
%0 Journal Article %A Cazenave, Thierry %A Shatah, Jalal %A Tahvildar-Zadeh, A. Shadi %T Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields %J Annales de l'I.H.P. Physique théorique %D 1998 %P 315-349 %V 68 %N 3 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPA_1998__68_3_315_0/ %G en %F AIHPA_1998__68_3_315_0
Cazenave, Thierry; Shatah, Jalal; Tahvildar-Zadeh, A. Shadi. Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields. Annales de l'I.H.P. Physique théorique, Volume 68 (1998) no. 3, pp. 315-349. https://www.numdam.org/item/AIHPA_1998__68_3_315_0/
[1] , Non-existence de solutions globales pour des équations des ondes non linéaires à données de cauchy petites, C. R. Acad. Paris, série I, Vol. 301, 1985, pp. 569-572. | Zbl | MR
[2] , Ondes progressives et résultats d'explosion pour des systèmes non linéaires du premier ordre, C. R. Acad. Paris, série I, Vol. 302, 1986, pp. 211-214. | Zbl | MR
[3] , and , Boundary behavior of harmonic maps on non-smooth domains and complete negatively curved manifolds, J. Func. Anal., Vol. 99, 1991, pp. 293-331. | Zbl | MR
[4] , Soluţii echivariante ale ecuaţiilor Yang-Mills, Stud. Cerc. Mat., 1982, Vol. 34(4), pp. 329-333. | MR
[5] and , Harmonic Maps and Minimal Immersions, Princeton University Press, Princeton, NJ, 1993. | Zbl | MR
[6] and , Some global solutions of the Yang-Mills equations in Minkowski space, Commun. Math. Phys., Vol. 81, 1981, pp. 171-187. | Zbl | MR
[7] , Invariant connections and Yang-Mills solutions, Trans. of the American Mathematical Society, Vol. 267(1), 1981, pp. 229-236. | Zbl | MR
[8] and , Non-existence results and growth properties for harmonic maps and forms, J. Reine Angew. Math., Vol. 353, 1984, pp. 165-180. | Zbl | MR
[9] , A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations, Duke Math. J., Vol. 72, 1993, pp. 503-539. | Zbl | MR
[10] and , On existence and scattering with minimal regularity for semilinear wave equations, J. Func. Anal., Vol. 130, 1995, pp. 357-426. | Zbl | MR
[11] and , Local regularity of nonlinear wave equations in three space dimensions, Comm. Partial Differential Equations, Vol. 18, 1993, pp. 169-177. | Zbl | MR
[12] , Weak solutions and development of singularities in the SU(2) σ-model, Comm. Pure. Appl. Math., Vol. 41, 1988, pp. 459-469. | Zbl | MR
[13] and , On the Cauchy problem for equivariant wave maps, Comm. Pure Appl. Math, Vol. 47, 1993, pp. 719-754. | Zbl | MR
[14] , Rotationally symmetric harmonic maps from a ball into a warped product manifold, Manus. Math., Vol. 53, 1985, pp. 235-254. | Zbl | MR






