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Global Well-Posedness and Analyticity of Generalized Porous Medium Equation in Fourier-Besov-Morrey Spaces with Variable Exponent

Author

Listed:
  • Muhammad Zainul Abidin

    (College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China)

  • Jiecheng Chen

    (College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China)

Abstract

In this paper, we consider the generalized porous medium equation. For small initial data u 0 belonging to the Fourier-Besov-Morrey spaces with variable exponent, we obtain the global well-posedness results of generalized porous medium equation by using the Fourier localization principle and the Littlewood-Paley decomposition technique. Furthermore, we also show Gevrey class regularity of the solution.

Suggested Citation

  • Muhammad Zainul Abidin & Jiecheng Chen, 2021. "Global Well-Posedness and Analyticity of Generalized Porous Medium Equation in Fourier-Besov-Morrey Spaces with Variable Exponent," Mathematics, MDPI, vol. 9(5), pages 1-13, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:498-:d:507942
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