대한수학회지 (Journal of the Korean Mathematical Society)

  • 제56권4호
  • /
  • Pages.1017-1029
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  • 2019
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
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BLOW-UP AND GLOBAL SOLUTIONS FOR SOME PARABOLIC SYSTEMS UNDER NONLINEAR BOUNDARY CONDITIONS

  • Guo, Limin (School of Mathematical Sciences Qufu Normal University) ;
  • Liu, Lishan (School of Mathematical Sciences Qufu Normal University) ;
  • Wu, Yonghong (Department of Mathematics and Statistics Curtin University) ;
  • Zou, Yumei (Department of Statistics and Finance Shandong University of Science and Technology)
  • 투고 : 2018.08.07
  • 심사 : 2019.03.04
  • 발행 : 2019.07.01
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초록

In this paper, blows-up and global solutions for a class of nonlinear divergence form parabolic equations with the abstract form of $({\varrho}(u))_t$ and time dependent coefficients are considered. The conditions are established for the existence of a solution globally and also the conditions are established for the blow up of the solution at some finite time. Moreover, the lower bound and upper bound of the blow-up time are derived if blow-up occurs.

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참고문헌

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