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  • 标题:Critical extinction exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption
  • 本地全文:下载
  • 作者:Bing Gao ; Jiashan Zheng
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:19
  • DOI:10.1186/1687-1847-2014-19
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper is concerned with a nonlocal reaction-diffusion equation with nonlocal source and interior absorption u t = ∫ R N J ( x − y ) ( u ( y , t ) − u ( x , t ) ) d y + λ ∫ Ω u q d x − u p , x ∈ Ω , t > 0 , u ( x , t ) = 0 , x ∉ Ω , t ≥ 0 , u ( x , 0 ) = u 0 ( x ) , x ∈ Ω . We investigate the critical extinction exponents for the problem based on some adequate supersolutions and subsolutions. MSC:35K57, 35B33, 35K10.
  • 关键词:nonlocal diffusion ; reaction-diffusion ; extinction ; critical exponent
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