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On the Cauchy problem for harmonic maps defined on two-dimensional Minkowski space. (English) Zbl 0475.58005


MSC:

58E20 Harmonic maps, etc.
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
81T08 Constructive quantum field theory
35Q99 Partial differential equations of mathematical physics and other areas of application
58J90 Applications of PDEs on manifolds

Citations:

Zbl 0401.58003
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Full Text: DOI

References:

[1] Elles, Amer. J. Math. 86 pp 109– (1964)
[2] Elles, Bull. London Math. Soc. 10 pp 1– (1978)
[3] Misner, Phys. Rev. D 18 pp 4510– (1978)
[4] Instantons in nonlinear s-models, gauge theories and general relativity, Preprint, Institut für Theoretische Physiks, Freie Universität, Berlin, 1979.
[5] Some problems on the Yang–Mills fields over Riemannian manifolds, Preprint, ITP-SB-79-57, Institute for Theoretical Physics, SUNY at Stony Brook, 1979.
[6] Leçons sur la Geometrie des Espaces de Riemann, Gauthier-Villars, Paris, 1928.
[7] and , Method of Mathematical Physics, Interscience, New York, 1962.
[8] Lectures on Partial Differential Equations, Interscience, New York, 1954.
[9] Pohlmeyer, Commun. Math. Phys. 46 pp 207– (1976)
[10] Zakharov, JETP Lett. 27 pp 47– (1978)
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