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ArticleOriginal scientific text

Title

The obstacle problem and direct products of unfurled swallowtails

Authors 1

Affiliations

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

Bibliography

  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.
Banach Center Publications
1997/39/1
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Pages:
123-129
Main language of publication
English
Published
1997
Exact and natural sciences