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math.AP2020
Harmonic functions of polynomial growth on infinite penny graphs
Zunwu He, Bobo Hua
For an infinite penny graph, we study the finite-dimensional property for the space of harmonic functions, or ancient solutions of the heat equation, of polynomial growth. We prove…
math.AP2020
Uniqueness class of solutions to a class of linear evolution equations
Fengwen Han, Bobo Hua
In this paper, we study the wave equation on infinite graphs. On one hand, in contrast to the wave equation on manifolds, we construct an example for the non-uniqueness for the Cau…