@incollection{JEDP_1997____A17_0,
author = {Michael Struwe},
title = {Recent existence and regularity results for wave maps},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {17},
pages = {1--7},
year = {1997},
publisher = {\'Ecole polytechnique},
doi = {10.5802/jedp.528},
zbl = {01808675},
language = {en},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.528/}
}
TY - JOUR AU - Michael Struwe TI - Recent existence and regularity results for wave maps JO - Journées équations aux dérivées partielles PY - 1997 SP - 1 EP - 7 PB - École polytechnique UR - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.528/ DO - 10.5802/jedp.528 LA - en ID - JEDP_1997____A17_0 ER -
Michael Struwe. Recent existence and regularity results for wave maps. Journées équations aux dérivées partielles (1997), article no. 17, 7 p.. doi: 10.5802/jedp.528
[1] : On the singular set of stationary harmonic maps, manusc. math. 78 (1993), 417-443. | MR | Zbl
[2] : Applications harmoniques hyperboliques, C.R. Acad. Sci. Paris Ser. I Math. 303 (1986), 109-113. | MR | Zbl
[3] , : On the regularity of spherically symmetric wave maps, Comm. Pure Appl. Math. 46 (1993), 1041-1091. | MR | Zbl
[4] , , , : Compensated compactness and Hardy spaces, J. Math. Pures Appl. 72 (1993), 247-286. | MR | Zbl
[5] : Partial regularity for stationary harmonic maps into spheres, Arch. Rat. Mech. Anal., 116 (1991), 101-113. | MR | Zbl
[6] , : Hp spaces of several variables, Acta Math. 129 (1972), 137-193. | MR | Zbl
[7] : Global weak solutions of the wave map system to compact homogeneous spaces, preprint. | Zbl
[8] , , : Weak convergence of harmonic maps from (2+1)-dimensional Minkowski space to Riemannian manifolds, Invent. math. (to appear). | Zbl
[9] , , : Weak compactness of wave maps and harmonic maps, Ann. Inst. H. Poincaré, Analyse Non-Linéaire (to appear). | Numdam | Zbl
[10] , : The Cauchy problem for the O(N), ℂP(N - 1) and Gℂ(N, P) models, Ann. Physics 142 (1982), 393-415. | MR | Zbl
[11] On the Cauchy problem for harmonic maps defined on two-dimensional Minkowski space, Comm. Pure Appl. Math. 33 (1980), 727-737. | MR | Zbl
[12] : Regularité des applications faiblement harmoniques entre une surface et une varitée Riemannienne, C.R. Acad. Sci. Paris Ser. I Math. 312 (1991) 591-596. | MR | Zbl
[13] , : Space-time estimates for null forms and the local existence theorem, Comm. Pure Appl. Math. 46 (1993), 1221-1268. | MR | Zbl
[14] , : Smoothing estimates for null forms and applications, Duke Math. Journal 81 (1995) 99-133. | MR | Zbl
[15] : The concentration compactness principle in the calculs of variations, the limit case, Part 2, Rev. Mat. Iberoam. 1/2 (1985), 45-121. | MR | Zbl
[16] , : Global existence of wave maps in 1 + 2 dimensions with finite energy data, Topological methods in nonlinear analysis 7 (1996), 245-259. | MR | Zbl
[17] : Weak solutions and development of singularities in the SU(2) σ-model, Comm. Pure Appl. Math. 41 (1988) 459-469. | MR | Zbl
[18] , : Well-posedness in the energy space for semilinear wave equations with critical growth, Inter. Math. Res. Notices 7 (1994), 303-309. | MR | Zbl
[19] , : Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds, Comm. Pure Appl. Math. 45 (1992), 947-971. | MR | Zbl
[20] : Geometric Evolution Problems, preprint ETH Zürich (1992), in : IAS/Park City Math. Ser. 2 (1996), 259-339. | Zbl
[21] : preprint.
[22] : Global weak solutions for the 2+1 dimensional wave maps with small energy, preprint, 1995.
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