The obstacle problem and direct products of unfurled swallowtails

• Autorzy: Oleg Myasnichenko
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1997
• Tom: 39
• Numer: 1
• Strony: 123-129

Daty

wydano

1997

Twórcy

autor

Oleg Myasnichenko

• Faculty of Applied Mathematics, Moscow Aviaton Institute, Volokolamskoe shosse 4, 125871, Moscow, Russia

Bibliografia

• [1] V. I. Arnol'd, Lagrangian manifold singularities, asymptotic rays and open swallowtails, Funct. Anal. Appl. 15 (1981), 235-246.
• [2] V. I. Arnol'd, Singularities of Caustics and Wave Fronts, Mathematics and its Applications (Soviet Series) 62, Kluwer Academic Publishers, Dordrecht, 1990.
• [3] A. B. Givental', Singular Lagrangian varieties and their Lagrangian mappings, in: Sovremennye Problemy Matematiki. Noveishie Dostizheniya 33. Itogi Nauki i Tekhniki. Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1988, 55-112 (Russian); English transl. in J. Soviet Math. 52 (1990), 3246-3278.
• [4] R. Melrose, Equivalence of glancing hypersurfaces, Invent. Math. 37 (1976), 165-191.
• [5] O. M. Myasnichenko, Geodesics on the boundary in the obstacle problem and unfurled swallowtails, Funct. Anal. Appl. 29 (1995), 82-84.
• [6] O. P. Shcherbak, Wave fronts and reflection groups, Russian Math. Surveys 43 (1988), 149-194.