Global classical solutions of IBVP to Nonlinear equation of a suspended string

Wongsawasdi, Jaipong; Yamaguchi, Masaru

doi:10.3836/tjm/1233844058

Global classical solutions of IBVP to Nonlinear equation of a suspended string

Author(s)

Wongsawasdi, Jaipong

Yamaguchi, Masaru

Date Issued

January 1, 2008

Type

Article

DOI

10.3836/tjm/1233844058

Abstract

We are concerned with the existence and uniqueness of the classical solution to IBVP for a nonlinear equation of a suspended string with uniform density to which a monotonous nonlinear time-independent outer force works. For this purpose we derive the higher order energy estimates, and employ the Galerkin method combining with the compactness argument along the refined method of [Sath]. We need the regularity theory of Nirenberg type for the suspended string operator L. © 2008 International Academic Printing Co. Ltd. All rights reserved.

Citation

Tokyo Journal of Mathematics, 31(2), 351-373, 2008