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2010 BLOW-UP OF POSITIVE-INITIAL-ENERGY SOLUTIONS FOR AN INTEGRO-DIFFERENTIAL EQUATION WITH NONLINEAR DAMPING
Shun-Tang Wu, Long-Yi Tsai
Taiwanese J. Math. 14(5): 2043-2058 (2010). DOI: 10.11650/twjm/1500406031

Abstract

The initial boundary value problem for an integro-differential equation with nonlinear damping in a bounded domain is considered. The local existence and blow-up of solutions with positive initial energy are discussed under some conditions. Estimates of the lifespan of solutions are also given.

Citation

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Shun-Tang Wu. Long-Yi Tsai. "BLOW-UP OF POSITIVE-INITIAL-ENERGY SOLUTIONS FOR AN INTEGRO-DIFFERENTIAL EQUATION WITH NONLINEAR DAMPING." Taiwanese J. Math. 14 (5) 2043 - 2058, 2010. https://doi.org/10.11650/twjm/1500406031

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1227.35098
MathSciNet: MR2724148
Digital Object Identifier: 10.11650/twjm/1500406031

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 5 • 2010
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