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Dirichlet Problem Of Poisson Equations On A Type Of Higher-Dimensional Fractal Sets

Author

Listed:
  • LE ZHU

    (Army Engineering University of PLA, Nanjing 211101, P. R. China)

  • YIPENG WU

    (Army Engineering University of PLA, Nanjing 211101, P. R. China†Institute of Defense Engineering, AMS, PLA, Wuhan 430019, P. R. China)

  • ZHILONG CHEN

    (Army Engineering University of PLA, Nanjing 211101, P. R. China)

  • KUI YAO

    (Army Engineering University of PLA, Nanjing 211101, P. R. China)

  • SHUAI HUANG

    (��Institute of Defense Engineering, AMS, PLA, Wuhan 430019, P. R. China)

  • YUAN WANG

    (��Institute of Defense Engineering, AMS, PLA, Wuhan 430019, P. R. China)

Abstract

Poisson equation is a partial differential equation with broad utility in theoretical physics. Dirichlet problem of Poisson Equations can be solved by Green’s function. It is a very attractive problem to look for analogous results of the above problem in the fractal context. This paper studies the network set Higher-Dimensional Sierpinski Gaskets, solves Dirichlet problem of Poisson Equations on them by expressing Green’s function explicitly.

Suggested Citation

  • Le Zhu & Yipeng Wu & Zhilong Chen & Kui Yao & Shuai Huang & Yuan Wang, 2022. "Dirichlet Problem Of Poisson Equations On A Type Of Higher-Dimensional Fractal Sets," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(03), pages 1-8, May.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:03:n:s0218348x22500517
    DOI: 10.1142/S0218348X22500517
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