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arXiv · 1111.2938

Infinite Propagation Speed For Wave Solutions on Some P.C.F. Fractals

Yin-Tat Lee
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Abstract

From the finite difference method for wave equation on p.c.f. fractals, we would expect that infinite prorogation speed property for wave solutions on a large class of p.c.f. fractals. We prove that is true if the heat kernel satisfies the sub-Gaussian lower bound. Furthermore, we provide a sub-Gaussian upper bound for wave kernel given the heat kernel sub-Gaussian upper bound.

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Yin-Tat Lee. 2011-11-12. Infinite Propagation Speed For Wave Solutions on Some P.C.F. Fractals. https://arxiv.org/abs/1111.2938

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