Bulletin of the Korean Mathematical Society (대한수학회보)

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SOME TYPES OF REACTION-DIFFUSION SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS

  • Han, Yuzhu (Institute of Mathematics Jilin University) ;
  • Gao, Wenjie (Institute of Mathematics Jilin University)
  • Received : 2011.05.10
  • Published : 2013.11.30
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Abstract

This paper deals with some types of semilinear parabolic systems with localized or nonlocal sources and nonlocal boundary conditions. The authors first derive some global existence and blow-up criteria. And then, for blow-up solutions, they study the global blow-up property as well as the precise blow-up rate estimates, which has been seldom studied until now.

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References

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