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  • 标题:Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions
  • 本地全文:下载
  • 作者:Pengyu Chen ; Yongxiang Li ; Hongxia Fan
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2012
  • 卷号:2012
  • 期号:1
  • 页码:79
  • DOI:10.1186/1687-1847-2012-79
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper discusses the existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions in Hilbert spaces. The discussion is based on analytic semigroups theory and fixed point theorem. An application to a partial differential equation with nonlocal condition is also considered. Mathematics Subject Classification(2010): 34G20; 34K30; 35D35; 47D06.
  • 关键词:evolution equation ; nonlocal initial condition ; strong solution ; analytic semigroups ; existence
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