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Global nonexistence for an integro‐differential equation
Authors:Shun‐Tang Wu  Ching‐Yan Lin
Affiliation:General Education Center, National Taipei University of Technology, , Taipei, Taiwan 106
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.
Keywords:blow‐up  life span  nonlinear damping  integro‐differential equation
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