The obstacle problem and direct products of unfurled swallowtails

Oleg Myasnichenko

Banach Center Publications (1997)

  • Volume: 39, Issue: 1, page 123-129
  • ISSN: 0137-6934

How to cite

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Myasnichenko, Oleg. "The obstacle problem and direct products of unfurled swallowtails." Banach Center Publications 39.1 (1997): 123-129. <http://eudml.org/doc/208655>.

@article{Myasnichenko1997,
author = {Myasnichenko, Oleg},
journal = {Banach Center Publications},
keywords = {one-sided constraints; Hamiltonian systems; Lagrangian varieties},
language = {eng},
number = {1},
pages = {123-129},
title = {The obstacle problem and direct products of unfurled swallowtails},
url = {http://eudml.org/doc/208655},
volume = {39},
year = {1997},
}

TY - JOUR
AU - Myasnichenko, Oleg
TI - The obstacle problem and direct products of unfurled swallowtails
JO - Banach Center Publications
PY - 1997
VL - 39
IS - 1
SP - 123
EP - 129
LA - eng
KW - one-sided constraints; Hamiltonian systems; Lagrangian varieties
UR - http://eudml.org/doc/208655
ER -

References

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  1. [1] V. I. Arnol'd, Lagrangian manifold singularities, asymptotic rays and open swallowtails, Funct. Anal. Appl. 15 (1981), 235-246. 
  2. [2] V. I. Arnol'd, Singularities of Caustics and Wave Fronts, Mathematics and its Applications (Soviet Series) 62, Kluwer Academic Publishers, Dordrecht, 1990. 
  3. [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. [4] R. Melrose, Equivalence of glancing hypersurfaces, Invent. Math. 37 (1976), 165-191. Zbl0354.53033
  5. [5] O. M. Myasnichenko, Geodesics on the boundary in the obstacle problem and unfurled swallowtails, Funct. Anal. Appl. 29 (1995), 82-84. Zbl0851.53026
  6. [6] O. P. Shcherbak, Wave fronts and reflection groups, Russian Math. Surveys 43 (1988), 149-194. Zbl0675.58007

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