• Title, Summary, Keyword: abstract form of $({\varrho}(u))_t$

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BLOW-UP AND GLOBAL SOLUTIONS FOR SOME PARABOLIC SYSTEMS UNDER NONLINEAR BOUNDARY CONDITIONS

  • Guo, Limin;Liu, Lishan;Wu, Yonghong;Zou, Yumei
    • Journal of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.1017-1029
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    • 2019
  • 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.