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
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
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