Global nonexistence for an integro‐differential equation |
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Authors: | Shun‐Tang Wu Ching‐Yan Lin |
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Affiliation: | General Education Center, National Taipei University of Technology, , Taipei, Taiwan 106 |
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Abstract: | The initial boundary value problem for an integro‐differential equation with nonlinear damping and source terms in a bounded domain is considered. By modifying the method in a work by Autuori et al. in 2010, we establish the nonexistence result of global solutions with the initial energy controlled by a critical value. This improves earlier results in the literatures. Copyright © 2011 John Wiley & Sons, Ltd. |
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Keywords: | blow‐up life span nonlinear damping integro‐differential equation |
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