Translator Disclaimer
December 2007 Global Solutions of IBVP to Nonlinear Equation of Suspended String
Jaipong WONGSAWASDI, Masaru YAMAGUCHI
Tokyo J. Math. 30(2): 543-556 (December 2007). 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.

Citation

Download Citation

Jaipong WONGSAWASDI. Masaru YAMAGUCHI. "Global Solutions of IBVP to Nonlinear Equation of Suspended String." Tokyo J. Math. 30 (2) 543 - 556, December 2007. https://doi.org/10.3836/tjm/1202136695

Information

Published: December 2007
First available in Project Euclid: 4 February 2008

zbMATH: 1185.35142
MathSciNet: MR2376528
Digital Object Identifier: 10.3836/tjm/1202136695

Rights: Copyright © 2007 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
14 PAGES


SHARE
Vol.30 • No. 2 • December 2007
Back to Top