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.
Citation
Shun-Tang Wu. Long-Yi Tsai. "ON GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS FOR AN INTEGRO-DIFFERENTIAL EQUATION WITH STRONG DAMPING." Taiwanese J. Math. 10 (4) 979 - 1014, 2006. https://doi.org/10.11650/twjm/1500403889
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