@article{AFST_2003_6_12_1_47_0, author = {Cabet, Aurore}, title = {Local existence of a solution of a semi-linear wave equation in a neighborhood of initial characteristic hypersurfaces}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {47--102}, publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques}, address = {Toulouse}, volume = {Ser. 6, 12}, number = {1}, year = {2003}, zbl = {1047.35101}, mrnumber = {2124075}, language = {en}, url = {http://archive.numdam.org/item/AFST_2003_6_12_1_47_0/} }
TY - JOUR AU - Cabet, Aurore TI - Local existence of a solution of a semi-linear wave equation in a neighborhood of initial characteristic hypersurfaces JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2003 DA - 2003/// SP - 47 EP - 102 VL - Ser. 6, 12 IS - 1 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://archive.numdam.org/item/AFST_2003_6_12_1_47_0/ UR - https://zbmath.org/?q=an%3A1047.35101 UR - https://www.ams.org/mathscinet-getitem?mr=2124075 LA - en ID - AFST_2003_6_12_1_47_0 ER -
Cabet, Aurore. Local existence of a solution of a semi-linear wave equation in a neighborhood of initial characteristic hypersurfaces. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 12 (2003) no. 1, pp. 47-102. http://archive.numdam.org/item/AFST_2003_6_12_1_47_0/
[1] Problème de Cauchy sur un conoïde caractéristique pour des Equations quasi-linéaires, Annali di Matematica Pura ed Applicata (IV), vol. CXXIX, 13-41 (1980). | MR 648323 | Zbl 0486.35023
-[2] Problème de Cauchy sur un conoïde caractéristique. Applications à certains systèmes non linéaires d'origine physique. (The characteristic Cauchy problem on a conoid. Applications to certain nonlinear systems of physical origin)., Flato, M. (ed.) et al., Physics on manifolds. Proceedings of the international colloquium analysis, manifols and physics in honour of Yvonne Choquet-Bruhat, Paris, France, June 3-5, 1992. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 15, 35-47 (1994). | MR 1267067 | Zbl 0830.35049
et -[3] Methods of mathematical physics , vol. II New York: Interscience (1962). | MR 65391 | Zbl 0099.29504
and -[4] On the regular and the asymptotic characteristic initial value problem for Einstein's vacuum field equations, Proc. Roy. Soc. London A 375, 169-184 (1981). | MR 618984 | Zbl 0454.58017
-[5] On Characteristic Initial- Value and Mixed Problems, General Relativity and Gravitation , Vol.8, No. 4, 259-301 (1977). | Zbl 0417.35052
and -[6] Reduction of the characteristic initial value problem to the Cauchy probem and its applications to the Einstein equations , Proc. Roy. Soc. LondonA 427, 221-239 (1990). | MR 1032984 | Zbl 0701.35149
-[7] Partial Differential Equations III: Nonlinear Equations, Applied Mathematical Sciences 117, New York, NY: Springer-Verlag, pp. 7-11 (1996). | MR 1477408 | Zbl 0869.35004
-