Open Access
2009 EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A NONLINEAR WAVE EQUATION
Shun-Tang Wu, Long-Yi Tsai
Taiwanese J. Math. 13(6B): 2069-2091 (2009). DOI: 10.11650/twjm/1500405658

Abstract

The initial boundary value problem for a Kirchhoff type plate equation in a bounded domain is considered. We prove the existence of global solutions by the similar arguments as in [11]. We derive the blow-up properties of solutions by energy method. Moreover, the estimates of the lifespan of solutions are also given.

Citation

Download Citation

Shun-Tang Wu. Long-Yi Tsai. "EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A NONLINEAR WAVE EQUATION." Taiwanese J. Math. 13 (6B) 2069 - 2091, 2009. https://doi.org/10.11650/twjm/1500405658

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1330.35264
MathSciNet: MR2583538
Digital Object Identifier: 10.11650/twjm/1500405658

Subjects:
Primary: 74K10 , 74K20 , 93D15 , 93D20

Keywords: Blow-up , global existence , life span , wave equation

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 6B • 2009
Back to Top