논문KCI 등재
The maximum principle in an asymmetric weighted directed network
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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 $ \boldsymbol{L} $ is diagonally dominant. Some examples are provided to illustrate the results.
Abstract
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 $ \boldsymbol{L} $ is diagonally dominant. Some examples are provided to illustrate the results.
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