대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제62권1호
  • /
  • Pages.111-119
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  • 2025
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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THE MAXIMUM PRINCIPLE IN AN ASYMMETRIC WEIGHTED DIRECTED NETWORK

  • Malay Banerjee (Department of Mathematics and Statistics Indian Institute of Technology) ;
  • Zhi Ling (School of Mathematical Science Yangzhou University) ;
  • You Zhou (School of Mathematical Science Yangzhou University)
  • 투고 : 2024.02.01
  • 심사 : 2024.05.13
  • 발행 : 2025.01.31
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초록

The reaction-diffusion equations on an asymmetric weighted digraph are concerned in this paper. We extend the (strong) maximum principle for classic reaction-diffusion systems in the continuous space when the Laplacian matrix of the digraph L is diagonally dominant. Some examples are provided to illustrate the results.

키워드

과제정보

This work was financially supported by the National Natural Science Foundation of China (No. 12171418 and 12371505), and the Postgraduate Research & Practice Innovation Program of Jiangsu Province (No. KYCX24 3707).

참고문헌

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