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文章基本信息

  • 标题:On the solvability of parabolic and hyperbolic problems with a boundary integral condition
  • 本地全文:下载
  • 作者:Abdelfatah Bouziani
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2002
  • 卷号:31
  • DOI:10.1155/S0161171202005860
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the data of certain parabolic and hyperbolic equations with a boundary integral condition. The proof uses a functional analysis method based on a priori estimates established in nonclassical function spaces, and on the density of the range of the linear operator associated to the abstract formulation of the studied problem.
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