Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type

被引：6

作者：

Nakane, K ^{[1
]}

机构：

[1] Osaka Inst Technol, Fac Engn, Asahi Ku, Osaka 5358585, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2001年 / 77卷 / 07期

关键词：

free boundary; hyperbolic equation; variational problem;

D O I：

10.3792/pjaa.77.103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：103 / 107

页数：5

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Kikuchi, K ;

Nakane, K ;

Omata, S ;

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JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2001, 18 (01) :43-58

[6]

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[7]

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