Global Solutions of IBVP to Nonlinear Equation of Suspended String

Wongsawasdi, Jaipong; Yamaguchi, Masaru

doi:10.3836/tjm/1202136695

Global Solutions of IBVP to Nonlinear Equation of Suspended String

Author(s)

Wongsawasdi, Jaipong

Yamaguchi, Masaru

Date Issued

January 1, 2007

Type

Article

DOI

10.3836/tjm/1202136695

Abstract

We shall consider IBVP to a nonlinear equation of suspended string with uniform density to which a nonlinear time-independent outer force works. We shall show the existence of time-global weak solutions of IBVP. To prove our result we shall use the function spaces defined by [Ya1], and apply the method due to Sattinger [Sat] based on the potential-well and the Galerkin method. © 2007 International Academic Printing Co. Ltd. All rights reserved.

Citation

Tokyo Journal of Mathematics, 30(2), 543-556, 2007