Research article

Decay estimate and non-extinction of solutions of p-Laplacian nonlocal heat equations

  • Received: 04 October 2019 Accepted: 20 January 2020 Published: 11 February 2020
  • MSC : 35A01, 35K55, 35B44

  • The main goal of this work is to study the initial boundary value problem of a nonlocal heat equations with logarithmic nonlinearity in a bounded domain. By using the logarithmic Sobolev inequality and potential wells method, we obtain the decay, blow-up and non-extinction of solutions under some conditions, and the results extend the results of a recent paper Lijun Yan and Zuodong Yang (2018).

    Citation: Sarra Toualbia, Abderrahmane Zaraï, Salah Boulaaras. Decay estimate and non-extinction of solutions of p-Laplacian nonlocal heat equations[J]. AIMS Mathematics, 2020, 5(3): 1663-1679. doi: 10.3934/math.2020112

    Related Papers:

  • The main goal of this work is to study the initial boundary value problem of a nonlocal heat equations with logarithmic nonlinearity in a bounded domain. By using the logarithmic Sobolev inequality and potential wells method, we obtain the decay, blow-up and non-extinction of solutions under some conditions, and the results extend the results of a recent paper Lijun Yan and Zuodong Yang (2018).


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