Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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TWO NEW BLOW-UP CONDITIONS FOR A PSEUDO-PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY

  • Ding, Hang (School of Mathematics and Statistics Southwest University) ;
  • Zhou, Jun (School of Mathematics and Statistics Southwest University)
  • Received : 2018.11.15
  • Accepted : 2019.04.12
  • Published : 2019.09.30
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Abstract

This paper deals with the blow-up phenomenon of solutions to a pseudo-parabolic equation with logarithmic nonlinearity, which was studied extensively in recent years. The previous result depends on the mountain-pass level d (see (1.6) for its definition). In this paper, we obtain two blow-up conditions which do not depend on d. Moreover, the upper bound of the blow-up time is obtained.

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References

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