Journal of the Korean Society for Industrial and Applied Mathematics

  • 제16권4호
  • /
  • Pages.235-242
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  • 2012
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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BLOW UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR THE NONLOCAL SEMILINEAR HEAT EQUATION

  • Fang, Zhong Bo (SCHOOL OF MATHEMATICAL SCIENCES, OCEAN UNIVERSITY OF CHINA) ;
  • Sun, Lu (SCHOOL OF MATHEMATICAL SCIENCES, OCEAN UNIVERSITY OF CHINA)
  • 투고 : 2012.08.08
  • 심사 : 2012.12.24
  • 발행 : 2012.12.25
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초록

In this paper, we investigate a nonlocal semilinear heat equation with homogeneous Dirichlet boundary condition in a bounded domain, and prove that there exist solutions with positive initial energy that blow up in finite time.

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참고문헌

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피인용 문헌

  1. General decay rate estimates for a semilinear parabolic equation with memory term and mixed boundary condition vol.2014, pp.1, 2014, https://doi.org/10.1186/s13661-014-0197-0