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.
"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