Stability of Parabolic Harnack Inequalities
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چکیده
Let (G,E) be a graph with weights {axy} for which a parabolic Harnack inequality holds with space-time scaling exponent β ≥ 2. Suppose {axy} is another set of weights that are comparable to {axy}. We prove that this parabolic Harnack inequality also holds for (G,E) with the weights {axy}. We also give stable necessary and sufficient conditions for this parabolic Harnack inequality to hold.
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تاریخ انتشار 2003