Darboux and Goursat type problems in the trihedral angle for hyperbolic type equations of third order
Jokhadze, Otari
Rendiconti del Seminario Matematico della Università di Padova, Tome 98 (1997), p. 107-123 / Harvested from Numdam
Publié le : 1997-01-01
@article{RSMUP_1997__98__107_0,
     author = {Jokhadze, Otari},
     title = {Darboux and Goursat type problems in the trihedral angle for hyperbolic type equations of third order},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {98},
     year = {1997},
     pages = {107-123},
     mrnumber = {1492972},
     zbl = {0893.35064},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1997__98__107_0}
}
Jokhadze, Otari. Darboux and Goursat type problems in the trihedral angle for hyperbolic type equations of third order. Rendiconti del Seminario Matematico della Università di Padova, Tome 98 (1997) pp. 107-123. http://gdmltest.u-ga.fr/item/RSMUP_1997__98__107_0/

[1] G. Darboux, Leçons sur la théorie générale des surfaces, troisiéme partie, Gauthier-Villars, Paris (1894).

[2] J. Hadamard, Lectures on Cauchy's problem in linear partial differential equations, Yale Univ. Press, New Haven; Oxford Univ. Press, London (1923). | JFM 49.0725.04

[3] E. Goursat, Cours d'analyse mathématique, t. III, quatr. éd., Gauthier-Villars, Paris (1927).

[4] O. Jokhadze, On a Darboux problem for a third order hyporbolic equation with multiple characteristics, Georgian Math. J., 2, No. 5 (1995), pp. 469-490. | MR 1351335 | Zbl 0833.35084

[5] Beudon, Bull. Soc. Math. Fr., XXV (1897). | Numdam

[6] J. Tolen, Probléme de Cauchy sur la deux hypersurfaces caracteristique sécantes, C. R. Acad. Sci. Paris Ser. A-B, 291, No. 1 (1980), pp. A49-A52. | MR 590987 | Zbl 0457.35057

[7] S.S. Kharibegashvili, On a spatial problem of Darboux type for second order hyporbolic equation, Georgian Math. J., 2 (1995), No 3, pp. 71-84. | MR 1334884 | Zbl 0829.35069

[8] S.S. Kharibegashvili, On the solvability of a spatial problem of Darboux type for the wave equation, Georgian Math. J., 2 (1995), No. 4, pp. 385-394. | MR 1344302 | Zbl 0842.35052

[9] O. Jokhadze, Spatial problem of Darboux type for one model equation of third order, Georgian Math. J., 3, No. 6 (1996), pp. 543-560. | MR 1419834 | Zbl 0864.35067

[10] S.S. Akhiev, Fundamental solutions of some local and nonlocal boundary value problems and their representations (Russian), Dokl. Akad. Nauk SSSR, 271, No. 2 (1983), pp. 265-269. | MR 718184 | Zbl 0539.35009

[11] R. Di Vincenzo - A. Villani, Sopra un problema ai limiti per un'equazione lineare del terzo ordine di tipo iperbolico. Esistenza, unicità e rappresentazione della soluzione, Le Matematiche, Seminario Matematico dell'Università di Catania, XXXII (1977), pp. 211-238. | Zbl 0434.35073

[12] Z.O. Melnik, One nonclassical boundary value problem for hyperbolic systems of first order of two independent variables (Russian), Differentsial'nie Uravneniya, 17, No. 6 (1981), pp. 1096-1104. | MR 620108 | Zbl 0486.35047