@article{AIHPA_1994__61_1_87_0, author = {W\"unsch, V.}, title = {Huygens' principle on Petrov type N space-times}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {61}, year = {1994}, pages = {87-102}, mrnumber = {1303187}, zbl = {0814.53060}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1994__61_1_87_0} }
Wünsch, V. Huygens' principle on Petrov type N space-times. Annales de l'I.H.P. Physique théorique, Tome 61 (1994) pp. 87-102. http://gdmltest.u-ga.fr/item/AIHPA_1994__61_1_87_0/
[A] Zum Huygensschen Prinzip bei einigen Klassen spinorieller Feldgleichungen in gekrümmten Raum-Zeit-Mannigfaltrigkeiten, Dissertation A, Pädgogische Hochschule.
,[AW] Zur Gültigkeit des Huygensschen Prinzips bei der Weyl-Gleichung und den homogenen Maxwellschen Gleichunge für Metriken vom Petrow-Typ N, Wiss. Zeitschr. d. Päd. Hochschule Erfurt/Mühlhausen, Math.-naturwissensch. Reihe 27, 1991, H. 2, pp. 77-91.
and ,[B] Sur la théorie des propagateurs, Ann. Mat. Pura Appl., Vol. 64, 1964, pp. 191-228. | MR 169659 | Zbl 0173.36501
,[CM] An Explicit Determination of the Spacetimes on Which the Conformally Invariant Scalar Wave Equation Satisfies Huygens' Principle, Ann. Inst. Henri Poincaré, Phys. théor., Vol. 44, 1986, pp. 115-153; Part. II, Vol. 47, 1987, pp. 337-354; Part. III, Vol. 48, 1988, pp. 77-96; Vol. 54, 1991, p. 9. | Numdam | Zbl 0595.35067
and ,[DC] Conformal Groups and Conformally Equivalent Isometry Groups, Comm. Math. Phys., Vol. 40, 1975, pp. 273-282. | MR 423241 | Zbl 0322.53008
,[F] The Wave Equation on a Curved Space-time, Cambridge University Press; Cambridge, London, New York, Melbourne, 1975. | MR 460898 | Zbl 0316.53021
,[GeW1] Über konforminvariante Tensoren ungerader Stufe in gekrümmten Raum-Zeiten, Wiss. Zeitschr. d. Päd. Hochschule Erfurt-Mühlhausen, Math.-naturwissensch. Reihe 26, 1990, H. 1, pp. 20-32. | MR 1102666 | Zbl 0719.53055
and ,[GeW2] Über konforminvariante Tensoren der Stufe sechs in gekrümmten Raum-Zeiten, Wiss. Zeitschr. d. Päd. Hochschule Erfurt-Mühlhausen, Math.-naturwissensch. Reihe 27, 1991, H. 2, pp. 117-143.
and ,[G1] Spinorkalkül und Normakoordinaten, ZAMM, Vol. 55, 1975, pp. 205- 210 | MR 452436 | Zbl 0324.53012
,[G2] Einige Sätze über Huygenssche Differentialgleichungen. Wiss. Zs. Karl-Marx-Univ. Leipzig, Vol. 14, 1965, pp. 497-507. | MR 198012 | Zbl 0173.12203
,[G3] Ein Beispiel einer nichttrivialen Huygensschen Differentialgleichung mit vier unabhängigen Veränderlichen. Archive Rat. Mech. and Analysis, Vol. 18, 1965, pp. 103-106. | MR 174865 | Zbl 0125.05404
,[G4] Huygens' Principle and Hyperbolic Equations, Boston, Academic Press, 1988. | MR 946226 | Zbl 0655.35003
,[GW1] Maxwellsche Gleichungen und Huygenssches Prinzip I, Math. Nachr., Vol. 63, 1974, pp. 97-121. | MR 363377 | Zbl 0288.35042
and ,[GW2] Contributions to a theory of polynomial conformal tensors, Math. Nachr., Vol. 126, 1986, pp. 83-100. | MR 846571 | Zbl 0636.53025
and ,[GW3] On Some Polynomial Conformal Tensors, Math. Nachr, Vol. 124, 1985, pp. 217-238. | MR 827899 | Zbl 0592.53012
and ,[Ha] Lectures on Cauchy's Problem in Linear Partial Differential Equations, Yale University Press, New Haven, 1923. | JFM 49.0725.04
,[He] Huygens' Principle for Wave Equations on Symmetric Spaces, J. Funkt. Anal., Vol. 107, 1992, pp. 279-288. | MR 1172025 | Zbl 0757.58036
,[I] Zur Gültigkeit des Huygensschen Prinzips bei hyperbolischen Differentialgleichungssystemen in statischen Raum-Zeiten, Zs. für Anal. und Anwendungen, Vol. 6, 1987, (5) pp. 385-407. | MR 923526 | Zbl 0636.35073
,[L] Champs spinoriels et propagateurs en relativité générale, Bull. Soc. math. Fr., Vol. 92, 1964, pp. 11-100. | Numdam | MR 169667 | Zbl 0138.44301
,[McL1] An Explicit Determination of the Empty Space-times on which the Wave Equation Satisfies Huygens' Principle, Proc. Cambridge Phil. Soc., Vol. 65, 1969, pp. 139-155. | MR 234700 | Zbl 0182.13403
,[McL2] On the Validity of Huygens' Principle for Second Order Partial Differential Equations With Four Independent Variables. Part. I. Derivation of Necessary Conditions, Ann. Inst. H. Poincaré, Vol. A 20, 1974, pp. 153-188. | Numdam | MR 361452 | Zbl 0287.35058
,[McL3] Huygens' principle, Ann. Inst. H. Poincaré, Vol. A 37, 1982, pp. 211-236. | Numdam | MR 694586 | Zbl 0528.35057
,[McL, L] Complex Recurrent Space-Times. Proc. Roy. Soc. London, Vol. A 327, 1972, pp. 229-249. | MR 309517 | Zbl 0243.53030
and ,[McL, W] An explicit Determination of the Petrov Type D Space-times on which Weyl's Neutrino Equation and Maxwell's Equations Satisfy Huygens' Principle, Ann. Inst. Henri Poincaré, Vol. A 53, 1990, p. 217. | Numdam | Zbl 0709.53053
and ,[Ø] The Conformal Invariance of Huygens' Principle, Diff. Geom., Vol. 16, 1981, pp. 1-9. | MR 633620 | Zbl 0447.35059
,[PR] Spinors and Space-time, Vol. 1, 1984, Vol. 2, 1986, Cambridge Univ. Press. | MR 776784
and ,[RW] Zum Huygensschen Prinzip bei der skalaren Wellengleichung, Beiträge zur Analysis, Vol. 18, 1981, pp. 43-75. | MR 650138 | Zbl 0501.53010
and ,[S1] Zur Gültigkeit des Huygensschen Prinzips bei einer speziellen Metrik, ZAMM, Vol. 51, 1971, pp. 201-208. | MR 290313 | Zbl 0221.35011
,[S2] Riemannsche Räume mit ebenfrontiger und ebener Symmetric, Math. Nachr, Vol. 59, 1974, pp. 129-162. | MR 339774 | Zbl 0274.53049
,[W1] Über selbstadjungierte huygenssche Differentialgleichungen, Math. Nachr., Vol. 47, 1970, pp. 131-154. | MR 298221 | Zbl 0211.40803
,[W2] Maxwellsche Gleichungen und Huygenssches Prinzip II, Math. Nachr., Vol. 73, 1976, pp. 19-36. | MR 426807 | Zbl 0288.35043
,[W3] Über eine Klasse konforminvarianter Tensoren, Math. Nachr., Vol. 73, 1976, pp. 37-58. | MR 433342 | Zbl 0287.53014
,[W4] Cauchy-Problem und Huygenssches Prinzip bei einigen Klassen spinorieller Feldgleichungen I, II, Beiträge zur Analysis, Vol. 12, 1978, pp. 47-76; Vol. 13, 1979, pp. 147-177. | MR 507097 | Zbl 0467.35067
,[W5] Konforminvariante Variationsprobleme und Huygenssches Prinzip, Math. Nachr., Vol.120, 1985, pp. 175-193. | MR 808340
,[W6] C-Räume und Huygenssches Prinzip, Wiss. Zeitscher. d. Päd. Hochschule Erfurt-Mühlhausen, Math.-naturwissensch, Reihe 23, 1987, H. 1, pp. 103-111. | MR 910678 | Zbl 0627.53057
,[W7] Huygens' Principle on Petrov Type D Space-Times, Ann. d. Physik, 7. Folge, Bd. 46, H. 8, 1989, pp. 593-597. | MR 1051239 | Zbl 0697.53027
,[W8] Moments and Huygens' Principle for Conformally Invariant Field Equations in Curved Space Times, Ann. Inst. Henri Poincaré, Vol. A60, 4, 1994. | Numdam | MR 1288587 | Zbl 1010.58503
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