On the contact linearization of Monge-Ampère equations

Izvestiya Mathematics

Volumn 60, Issue 2, 1996, Pages 425-451

  Tunitskii, D V ^a  

^a International Center Sophus Lie

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042650109     PISSN: 10645632     EISSN: 14684810     Source Type: Journal    
DOI: 10.1070/IM1996v060n02ABEH000076     Document Type: Article

References (10)

1. V. V. Lychagin.Contact geometry and second-order non-linear differential equations, Uspekhi Mat. Nauk 34:1 (1979), 137-165; English transl., Russian Math. Surveys 34:1 (1979), 149-180.
2. D. V. Tunitskii.Cauchy problem for hyperbolic Monge-Ampère equations, Izv. Ross. Akad. Nauk Ser. Mat. 57:4 (1993), 174-191; English transl. in Russ. Acad. Sci. Izv. Math. 43:1 (1994).
3. T. Morimoto.La géométrie des équations Monge-Ampère, C. R. Acad. Sci. Paris. Sér A 289 (1979), 25-28.
4. S. Lie, Gesammelte Abhandlungen. Band 3, Teubner, Leipzig and Ascheoug, Oslo 1922.
5. É. Goursat, Leçons sur l'intégration des équations aux dérivées partielles du second ordre, à deux variables indépendantes, Vol. 1, Hermann, Paris 1896.
6. V. V. Lychagin and V. N. Rubtsov.On the theorems of Sophus Lie for Monge-Ampère equations, Dokl. Akad. Byelorus. SSR 27:5 (1983), 396-398. (Russian)
7. V. V. Lychagin, V. N. Rubtsov and I. V. Chekalov.A classification of Monge-Ampère equations, Ann. Sci. École. Norm. Sup. (4) 26 (1993), 281-308. (English)
8. P. K. Rashevskii, Geometric theory of partial differential equations, GITTL, Moscow 1947. (Russian)
9. F. Warner, Foundations of differentiable manifolds and Lie groups, Scott-Foresman, Glenview, Illinois 1971; Russian transl., Mir, Moscow 1987.
10. N. Hurt, Geometric quantization in action: applications of harmonic analysis in quantum statistical mechanics and quantum field theory, D. Reidel Pub. Co., Dordrecht-Boston 1983; Russian transl., Mir, Moscow 1985.