文章基本信息

标题：Fujita-type theorems for a class of coupled semilinear parabolic systems with gradient terms
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作者：Guanming Gai ; Qiang Liu ; Yang Na 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：467
DOI：10.1186/s13662-018-1911-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper concerns the asymptotic behavior of the solution to a class of coupled semilinear parabolic systems with gradient terms. The Fujita-type blow-up theorems are established and the critical Fujita curve is determined not only by the behavior of the coefficients of the gradient term and the source terms at infinity, but also by the spacial dimension.
关键词：Critical Fujita curve ; Semilinear parabolic system ; Large time behavior ; Gradient term