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  • EXISTENCE AND BLOW-UP OF SOLUTIONS TO A PARABOLIC EQUATION WITH NONSTANDARD GROWTH CONDITIONS

  • Part of
  • YANG LIU
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 99 / Issue 2 / April 2019
    Published online by Cambridge University Press:
    11 December 2018, pp. 242-249
    Print publication:
    April 2019
    • Article
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  • We study the initial boundary value problem for a fourth-order parabolic equation with nonstandard growth conditions. We establish the local existence of weak solutions and derive the finite time blow-up of solutions with nonpositive initial energy.