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Existence of solution for a class of heat equation involving the p(x) Laplacian with triple regime

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Abstract

In this paper, we study the local and global existence of solution and the blow-up phenomena for a class of heat equation involving the p(x)-Laplacian with triple regime.

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Authors and Affiliations

  1. Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, Campina Grande, PB, 58429-970, Brazil

    Claudianor O. Alves

  2. Department of Mathematics, Faculty of Exact Sciences, Lab. of Applied Mathematics, University of Bejaia, 6000, Bejaia, Algeria

    Tahir Boudjeriou

Authors
  1. Claudianor O. Alves
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  2. Tahir Boudjeriou
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Correspondence to Tahir Boudjeriou.

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C. O. Alves was partially supported by CNPq/Brazil 304804/2017-7.

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Alves, C.O., Boudjeriou, T. Existence of solution for a class of heat equation involving the p(x) Laplacian with triple regime. Z. Angew. Math. Phys. 72, 2 (2021). https://doi.org/10.1007/s00033-020-01430-5

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  • DOI: https://doi.org/10.1007/s00033-020-01430-5

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