Open Access
July 2018 Initial-boundary value problem for the degenerate hyperbolic equation of a hanging string
Masahiro Takayama
Osaka J. Math. 55(3): 547-565 (July 2018).

Abstract

We consider an initial-boundary value problem for the degenerate linear hyperbolic equation as a model of the motion of an inextensible string fixed at one end in the gravity field. We shall show the existence and the uniqueness of the solution and study the regularity of the solution.

Citation

Download Citation

Masahiro Takayama. "Initial-boundary value problem for the degenerate hyperbolic equation of a hanging string." Osaka J. Math. 55 (3) 547 - 565, July 2018.

Information

Published: July 2018
First available in Project Euclid: 4 July 2018

zbMATH: 06927827
MathSciNet: MR3824846

Subjects:
Primary: 35L80
Secondary: 35L20 , 74K05

Rights: Copyright © 2018 Osaka University and Osaka City University, Departments of Mathematics

Vol.55 • No. 3 • July 2018
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