Open Access
Sept. 2001 Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type
Kazuaki Nakane
Proc. Japan Acad. Ser. A Math. Sci. 77(7): 103-107 (Sept. 2001). DOI: 10.3792/pjaa.77.103

Abstract

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.

Citation

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Kazuaki Nakane. "Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type." Proc. Japan Acad. Ser. A Math. Sci. 77 (7) 103 - 107, Sept. 2001. https://doi.org/10.3792/pjaa.77.103

Information

Published: Sept. 2001
First available in Project Euclid: 23 May 2006

zbMATH: 1034.35161
MathSciNet: MR1857283
Digital Object Identifier: 10.3792/pjaa.77.103

Subjects:
Primary: 35R35
Secondary: 35L70

Keywords: free boundary , hyperbolic equation , variational problem

Rights: Copyright © 2001 The Japan Academy

Vol.77 • No. 7 • Sept. 2001
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