数学
维数(图论)
有界函数
图形
多项式的
产品(数学)
热量理论
离散数学
纯数学
组合数学
摘要
Abstract We study ancient solutions of polynomial growth to heat equations on graphs and extend Colding and Minicozzi’s theorem [9] on manifolds to graphs: for a graph of polynomial volume growth, the dimension of the space of ancient solutions of polynomial growth is bounded by the product of the growth degree and the dimension of harmonic functions with the same growth.
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