@article{AIHPA_1991__54_1_9_0, author = {Carminati, J. and Czapor, S. R. and McLenaghan, R. G. and Williams, G. C.}, title = {Consequences of the validity of {Huygens'} principle for the conformally invariant scalar wave equation, {Weyl's} neutrino equation and {Maxwell's} equations on {Petrov} type {II} space-times}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {9--16}, publisher = {Gauthier-Villars}, volume = {54}, number = {1}, year = {1991}, mrnumber = {1102968}, zbl = {0729.35075}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1991__54_1_9_0/} }
TY - JOUR AU - Carminati, J. AU - Czapor, S. R. AU - McLenaghan, R. G. AU - Williams, G. C. TI - Consequences of the validity of Huygens' principle for the conformally invariant scalar wave equation, Weyl's neutrino equation and Maxwell's equations on Petrov type II space-times JO - Annales de l'I.H.P. Physique théorique PY - 1991 SP - 9 EP - 16 VL - 54 IS - 1 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1991__54_1_9_0/ LA - en ID - AIHPA_1991__54_1_9_0 ER -
%0 Journal Article %A Carminati, J. %A Czapor, S. R. %A McLenaghan, R. G. %A Williams, G. C. %T Consequences of the validity of Huygens' principle for the conformally invariant scalar wave equation, Weyl's neutrino equation and Maxwell's equations on Petrov type II space-times %J Annales de l'I.H.P. Physique théorique %D 1991 %P 9-16 %V 54 %N 1 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1991__54_1_9_0/ %G en %F AIHPA_1991__54_1_9_0
Carminati, J.; Czapor, S. R.; McLenaghan, R. G.; Williams, G. C. Consequences of the validity of Huygens' principle for the conformally invariant scalar wave equation, Weyl's neutrino equation and Maxwell's equations on Petrov type II space-times. Annales de l'I.H.P. Physique théorique, Tome 54 (1991) no. 1, pp. 9-16. http://www.numdam.org/item/AIHPA_1991__54_1_9_0/
[1] Determination of all Petrov Type N Space-Times on which the Conformally Invariant Scalar Wave Equation Satisfies Huygens' Principle, Phys. Lett., Vol. 105 A, 1984, pp. 351-354. | MR
and ,[2] An Explicit Determination of the Petrov Type N Space-Times on which the Conformally Invariant Scalar Wave Equation Satisfies Huygens' Principle, Ann. Inst. Henri Poincare, Phys. Théor., Vol. 44, 1986, pp. 115- 153. | Numdam | MR | Zbl
and ,[3] An Explicit Determination of the Space-Times on which the Conformally Invariant Scalar Wave Equation Satisfies Huygens' Principle. Part II: Petrov Type D Space-Times, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 47, 1987, pp. 337-354. | Numdam | MR | Zbl
and ,[4] An Explicit Determination of the Space-Times on which the Conformally Invariant Scalar Wave Equation Satisfies Huygens' Principle. Part III : Petrov Type III Space-Times, Ann. Inst. Henri Poincare, Phys. Théor., Vol. 48, 1988, pp. 77-96. | Numdam | MR | Zbl
and ,[5] Zur Gültigkeit des Huygensschen Princips bei partiellen Differentialgleichungen von normalen hyperbolischen Typus, S.-B. Sachs. Akad. Wiss. Leipzig Math.-Natur K., Vol. 100, 1952, pp. 1-43. | MR | Zbl
,[6] Ein Beispiel einer nichttrivalen Huygensschen Differentialgleichungen mit vier unabhängigen Variablen, Arch. Rational Mech. Anal., Vol. 18, 1965, pp. 103-106. | MR | Zbl
,[7] Eigine Sätze über Huygenssche Differentialgleichungen. Wiss. Zeitschr. Karl Marx Univ., Math.-Natu. Reihe Leipzig, Vol. 14, 1965, pp. 498-507. | MR | Zbl
,[8] Maxwellsche Gleichungen und Huygenssches Prinzip I, Math. Nach., Vol. 63, 1974, pp. 97-121. | MR | Zbl
and ,[9] Lectures on Cauchy's Problem in Linear Partial Differential Equations, Yale University Press, New Haven, 1923. | JFM
,[10] Maxwell Fields Satisfying Huygens' Principle, Proc. Cambridge Philos. Soc., Vol. 64, 1968, pp. 770-785.
,[11] An Explicit Determination of the Empty Space-Times on which the Wave Equation Satisfies Huygens' Principle, Proc. Cambridge Philos. Soc., Vol. 65, 1969, pp. 139-155. | MR | Zbl
,[12] On the Validity of Huygens' Principle for Second Order Partial Differential Equations with Four Independent Variables. Part I : Derivation of Necessary Conditions, Ann. Inst. Henri Poincaré, Vol. A 20, 1974, pp. 153-188. | Numdam | MR | Zbl
,[13] An Explicit Determination of the Non-self-Adjoint Wave Equations on Curved Space-Time that Satisfy Huygens' Principle. Part I : Petrov Type N Background Space-Times, Ann. Inst. Henri Poincare, Phys. Théor., Vol. 48, 1988, pp. 267-280. | Numdam | MR | Zbl
McLENAGHAN and ,[14] 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 Poincare, Phys. Théor. (to appear). | Numdam | Zbl
McLENAGHAN and ,[15] Zum Huygensschen Prinzip bei der skalaren Wellengleichung, Beitr. zur Analysis, Vol. 18, 1981, pp. 43-75. | MR | Zbl
and ,[16] Über selbstadjungierte Huygenssche Differentialgleichungen mit vier unabhängigen Variablen, Math. Nachr., Vol. 47, 1970, pp. 131-154. | MR | Zbl
,[17] Maxwellsche Gleichunge und Huygenssches Prinzip II, Math. Nachr., Vol. 73, 1976, pp. 19-36. | MR | Zbl
,[18] Cauchy-problem und Huygenssches Prinzip bei einigen Klassen spinorieller Feldgleichungen I, Beitr. zur Analysis, Vol. 12, 1978, pp. 47-76. | MR | Zbl
,[19] Cauchy-problem und Huygenssches Prinzip bei einigen Klassen spinorieller FeldgleichungenII, Beitr. zur Analysis, Vol. 13, 1979, pp. 147-177. | MR | Zbl
,[20] Hugens' principle on Petrov type-D space-times, Ann. Physik, Vol. 46, 1989, pp. 593-597. | MR | Zbl
,