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Maxwellsche Gleichungen und Huygenssches Prinzip. I. (German) Zbl 0288.35042


MSC:

35L45 Initial value problems for first-order hyperbolic systems
35Q99 Partial differential equations of mathematical physics and other areas of application
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References:

[1] Duff, Harmonic p-tensors in normal hyperbolic Riemannian spaces; Canad, Journ. Math. 5 pp 57– (1953) · Zbl 0052.32801
[2] J. Ehlers K. Kundt 1962
[3] Günther, Ein Beispiel einer nichttrivialen huygensschen Differentialgleichung mit vier unabhängigen Veränderlichen; Archive for Rat, Mech. and Analysis 18 pp 103– (1965)
[4] Günther, Einige Sätze über huygenssche Differentialgleichungen; Wiss, Z. d. Karl-Marx-Univ. Leipzig 14 pp 497– (1965)
[5] P. Günther
[6] Künzle, Maxwell fields satisfying Huygens’ principle; Proc, Cambridge, Philos. Soc. 64 pp 779– (1968)
[7] McLenaghan, An explicit determination of the empty spacetime on which the wave equation satisfies Huygens’ Principle; Proc, Cambridge Philos. Soc. 65 pp 139– (1969) · Zbl 0182.13403
[8] A. S. Petrow 1964
[9] Schimming, Zur Gültigkeit des Huygensschen Prinzips bei einer speziellen Metrik, ZAMM 51 pp 201– (1971) · Zbl 0221.35011
[10] R. Schimming
[11] J. A. Schouten 1954
[12] Wünsch, Über selbstadjungierte huygenssche Differentialgleichungen mit vier unabhängigen Variablen, diese Nachr. 47 pp 131– (1970) · Zbl 0211.40803
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