@article{AIHPA_1990__53_2_159_0, author = {M\"uller zum Hagen, H.}, title = {Characteristic initial value problem for hyperbolic systems of second order differential equations}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {159--216}, publisher = {Gauthier-Villars}, volume = {53}, number = {2}, year = {1990}, mrnumber = {1079777}, zbl = {0739.35039}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1990__53_2_159_0/} }
TY - JOUR AU - Müller zum Hagen, H. TI - Characteristic initial value problem for hyperbolic systems of second order differential equations JO - Annales de l'I.H.P. Physique théorique PY - 1990 SP - 159 EP - 216 VL - 53 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1990__53_2_159_0/ LA - en ID - AIHPA_1990__53_2_159_0 ER -
%0 Journal Article %A Müller zum Hagen, H. %T Characteristic initial value problem for hyperbolic systems of second order differential equations %J Annales de l'I.H.P. Physique théorique %D 1990 %P 159-216 %V 53 %N 2 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1990__53_2_159_0/ %G en %F AIHPA_1990__53_2_159_0
Müller zum Hagen, H. Characteristic initial value problem for hyperbolic systems of second order differential equations. Annales de l'I.H.P. Physique théorique, Tome 53 (1990) no. 2, pp. 159-216. http://www.numdam.org/item/AIHPA_1990__53_2_159_0/
[1] Sobolev Spaces, Academic Press, N. Y. 1975. | MR | Zbl
,[2] CHRISTODOULOU and FRACOVILIA, Cauchy Data on a Manifold, Ann. Inst. Henri-Poincaré, 1978, Vol. XXIX.
,[3] Charakteristic and Mixed Problems, G.R.G. J., 1977, Vol. 8, pp. 259-301. | MR | Zbl
and ,[4] Extension de valeur initiale caractéristique pour des systèmes quasi linéaires de second ordre, C. R. Acad. Sci. Paris, 1981, T. 293, Series I, p. 39. | Zbl
and ,[5] Methods of Mathematical Physics, Vol. II, 9th printing, Interscience Publ. N.Y., 1962. | MR | Zbl
and ,[6] The Wave Equation of a Curved Space-Time, Cambridge University Press, 1975. | MR | Zbl
,[7] Mixed Problems for Linear Systems of First Order, Can. J. Math., 1958, Vol. 10, pp. 127-160. | MR | Zbl
,[8] Non-homogeneous Boundary Value Problems and Applications, Vol. I, Springer-Verlag, Berlin, Heidelbeg, New York, 1972. | MR | Zbl
and ,[9] Theorie der Funktionen einer reellen Veränderlichen, Verlag Harri Deutsch, Zürich, Frankfurt/Main, Thun, 1977. | Zbl
,[10] Functional Analysis, McGraw-Hill Book Company, N.Y., 1973. | MR | Zbl
,[11] The Large Scale Structure of Space-Time, Cambridge University Press, 1973. | MR | Zbl
and ,[12] Extension de la solution du problème de Cauchy d'équations quasi linéaires hyperboliques, C. R. Acad. Sci., Paris, 1980, T. 290, Series A, p. 641. | MR | Zbl
,[13] The Boost Problem for Weakly Coupled Quasilinear Hyperbolic System of the Second Order, preprint, Max-Planck-Institut für Physik und Astrophysik, MPI-PAE/Astro 218, 1980. | MR
,[14] On the Occurrence of Naked Singularities, in Geneva/Relativity, Commun. Math. Phys., 1974, Vol. 37, pp. 29-40. | MR
, and ,[15] Reduction of the Characteristic Initial Value Problem to the Cauchy Problem and its Application to Einstein Equations, Preprint, Max-Planck-Institut für Physik und Astrophysik, MPA 438, 1989. | MR
,[16] Analysis, Manifold and Physics, North Holland, Amsterdam, 1977. | MR | Zbl
, and ,[17] Phys. Rep., 1985, Vol. 124, pp. 315-417. | MR
, , , and ,[18] The Asymptotic Characteristic Initial Value Problem for Einstein's Vacuum Field Equations as an Initial Value Problem for First-Order Quasilinear Symmetric Hyperbolic System, Proc. R. Soc. Lond., 1981, Vol. A 378, pp. 401-421. | MR | Zbl
,[19] On Purely Radiative Space-Times, Commun. Math. Phys., 1986, Vol. 103, pp. 35-65. | MR | Zbl
,[20] Classical General Relativity, W. B. BONNER, J. N. ISLAM, M. A. H. MAC CALLUM Eds., Cambridge University Press, 1984. | MR
,[21] Characteristic Initial Data and Wave Front Singularities in General Relativity, Proc. R. Soc. Lond., 1983, Vol. A 385, pp. 345-371. | MR | Zbl
and ,[22] Inegalités énergétiques sur un conoïde caractéristique. Annales de la Faculté des Sciences, Mathématiques-Physiques, 1985, T. 1, pp. 23-24.
,[23] Problème de Cauchy un conoide caractèristique pour des équations quasi linéaires, Anali Mat. Pura Appl., 1980, Vol. CXXIX, pp. 13-41. | MR | Zbl
,[24] Zum charakteristischen Anfangswertproblem der Einsteinschen Feldgleichungen, Ann. Phys., 1963, Vol. 7, 12, pp. 302-323. | MR | Zbl
,[25] On the Hyperbolicity of Einstein's and Other Gauge Field Equations, Commun. Math. Phy., 1985, Vol. 100, pp. 525-543; Proc. R. Soc. Lond., 1981, Vol. A 375, pp. 169-184. | MR | Zbl
,[26] On the Regular and Assymptotic Characteristic Initial Value Problem for Einstein's Vacuum Field Equations, Proc. R. Soc. Lond., 1981, Vol. A 375, pp. 169- 184. | MR | Zbl
,