Darboux and Goursat type problems in the trihedral angle for hyperbolic type equations of third order

Otari Jokhadze

Rendiconti del Seminario Matematico della Università di Padova (1997)

  • Volume: 98, page 107-123
  • ISSN: 0041-8994

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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 98 (1997): 107-123. <http://eudml.org/doc/108436>.

@article{Jokhadze1997,
author = {Jokhadze, Otari},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {direct methods},
language = {eng},
pages = {107-123},
publisher = {Seminario Matematico of the University of Padua},
title = {Darboux and Goursat type problems in the trihedral angle for hyperbolic type equations of third order},
url = {http://eudml.org/doc/108436},
volume = {98},
year = {1997},
}

TY - JOUR
AU - Jokhadze, Otari
TI - Darboux and Goursat type problems in the trihedral angle for hyperbolic type equations of third order
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 98
SP - 107
EP - 123
LA - eng
KW - direct methods
UR - http://eudml.org/doc/108436
ER -

References

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  1. [1] G. Darboux, Leçons sur la théorie générale des surfaces, troisiéme partie, Gauthier-Villars, Paris (1894). Zbl25.1159.02
  2. [2] J. Hadamard, Lectures on Cauchy's problem in linear partial differential equations, Yale Univ. Press, New Haven; Oxford Univ. Press, London (1923). Zbl49.0725.04JFM49.0725.04
  3. [3] E. Goursat, Cours d'analyse mathématique, t. III, quatr. éd., Gauthier-Villars, Paris (1927). 
  4. [4] O. Jokhadze, On a Darboux problem for a third order hyporbolic equation with multiple characteristics, GeorgianMath. J., 2, No. 5 (1995), pp. 469-490. Zbl0833.35084MR1351335
  5. [5] Beudon, Bull. Soc. Math. Fr., XXV (1897). 
  6. [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. Zbl0457.35057MR590987
  7. [7] S.S. Kharibegashvili, On a spatial problem of Darboux type for second order hyporbolic equation, GeorgianMath. J., 2 (1995), No 3, pp. 71-84. Zbl0829.35069MR1334884
  8. [8] S.S. Kharibegashvili, On the solvability of a spatial problem of Darboux type for the wave equation, GeorgianMath. J., 2 (1995), No. 4, pp. 385-394. Zbl0842.35052MR1344302
  9. [9] O. Jokhadze, Spatial problem of Darboux type for one model equation of third order, GeorgianMath. J., 3, No. 6 (1996), pp. 543-560. Zbl0864.35067MR1419834
  10. [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. Zbl0539.35009MR718184
  11. [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. Zbl0434.35073
  12. [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. Zbl0486.35047MR620108

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