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AIMS Mathematics

2017, Volume 2, Issue 4: 647-657. doi: 10.3934/Math.2017.4.647
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Research article

Blow-up phenomena for a class of metaparabolic equations with time dependent coeffcient

  • 1.
    School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong, 510006, P.R. China
  • 2.
    Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, Guangdong, 510006, P.R. China
  • Received: 09 October 2017 Accepted: 21 November 2017 Published: 04 December 2017

  • This paper deals with the initial boundary value problem for a metaparabolic equations with time dependent coeffcient. Under suitable conditions on initial data, a blow-up criterion which ensures that u cannot exist all time is given, and an upper bound for blow up time is derived. Moreover, we also obtain a lower bound for blow-up time if blow up does occur by means of a di erential inequality technique.

    Citation: Huafei Di, Yadong Shang. Blow-up phenomena for a class of metaparabolic equations with time dependent coeffcient[J]. AIMS Mathematics, 2017, 2(4): 647-657. doi: 10.3934/Math.2017.4.647

    Related Papers:

  • This paper deals with the initial boundary value problem for a metaparabolic equations with time dependent coeffcient. Under suitable conditions on initial data, a blow-up criterion which ensures that u cannot exist all time is given, and an upper bound for blow up time is derived. Moreover, we also obtain a lower bound for blow-up time if blow up does occur by means of a di erential inequality technique.


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