文章基本信息

标题：Blowup for nonlinearly damped viscoelastic equations with logarithmic source and delay terms
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作者：Sun-Hye Park
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03469-8
出版社：Hindawi Publishing Corporation
摘要：In this work, we investigate blowup phenomena for nonlinearly damped viscoelastic equations with logarithmic source effect and time delay in the velocity. Owing to the nonlinear damping term instead of strong or linear dissipation, we cannot apply the concavity method introduced by Levine. Thus, utilizing the energy method, we show that the solutions with not only non-positive initial energy but also some positive initial energy blow up at a finite point in time.
关键词：35L05 ; 35L70 ; 35B44