Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type
Nakane, Kazuaki
Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, p. 103-107 / Harvested from Project Euclid
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A one-dimensional free boundary problem of hyperbolic type will be analyzed. This problem arises from the physical model ``Peel a thin film from a domain''. The local solutions have been already given for our problem. However, it is not sure that the solutions can be extended globally. In this article, by applying an iteration method, it will be shown that time-global solutions exist.
Publié le : 2001-09-14
Classification:  Free boundary,  hyperbolic equation,  variational problem,  35R35,  35L70 
@article{1148393031,
     author = {Nakane, Kazuaki},
     title = {Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {77},
     number = {10},
     year = {2001},
     pages = { 103-107},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393031}
}

Nakane, Kazuaki. Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type. Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, pp.  103-107. http://gdmltest.u-ga.fr/item/1148393031/