Taiwanese Journal of Mathematics

ON GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS FOR AN INTEGRO-DIFFERENTIAL EQUATION WITH STRONG DAMPING

Abstract

The initial boundary value problem for an integro-differential equation with strong damping in a bounded domain is considered. The existence, asymptotic behavior and blow-up of solutions are discussed under some conditions. The decay estimates of the energy function and the estimates of the lifespan of blow-up solutions are given.

Article information

Source
Taiwanese J. Math., Volume 10, Number 4 (2006), 979-1014.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500403889

Digital Object Identifier
doi:10.11650/twjm/1500403889

Mathematical Reviews number (MathSciNet)
MR2229637

Zentralblatt MATH identifier
1147.35334

Subjects
Primary: 35L05: Wave equation 35A07

Citation

Wu, Shun-Tang; Tsai, Long-Yi. ON GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS FOR AN INTEGRO-DIFFERENTIAL EQUATION WITH STRONG DAMPING. Taiwanese J. Math. 10 (2006), no. 4, 979--1014. doi:10.11650/twjm/1500403889. https://projecteuclid.org/euclid.twjm/1500403889

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