The obstacle problem and direct products of unfurled swallowtails
Myasnichenko, Oleg
Banach Center Publications, Tome 38 (1997), p. 123-129 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:208655 
@article{bwmeta1.element.bwnjournal-article-bcpv39z1p123bwm,
     author = {Myasnichenko, Oleg},
     title = {The obstacle problem and direct products of unfurled swallowtails},
     journal = {Banach Center Publications},
     volume = {38},
     year = {1997},
     pages = {123-129},
     zbl = {0885.58026},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p123bwm}
}

Myasnichenko, Oleg. The obstacle problem and direct products of unfurled swallowtails. Banach Center Publications, Tome 38 (1997) pp. 123-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p123bwm/

[000] [1] V. I. Arnol'd, Lagrangian manifold singularities, asymptotic rays and open swallowtails, Funct. Anal. Appl. 15 (1981), 235-246.

[001] [2] V. I. Arnol'd, Singularities of Caustics and Wave Fronts, Mathematics and its Applications (Soviet Series) 62, Kluwer Academic Publishers, Dordrecht, 1990.

[002] [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.

[003] [4] R. Melrose, Equivalence of glancing hypersurfaces, Invent. Math. 37 (1976), 165-191. | Zbl 0354.53033

[004] [5] O. M. Myasnichenko, Geodesics on the boundary in the obstacle problem and unfurled swallowtails, Funct. Anal. Appl. 29 (1995), 82-84. | Zbl 0851.53026

[005] [6] O. P. Shcherbak, Wave fronts and reflection groups, Russian Math. Surveys 43 (1988), 149-194. | Zbl 0675.58007