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arXiv · 1612.05015

Equivalent Semi-Norms of Non-Local Dirichlet Forms on the Sierpiński Gasket and Applications

Meng Yang
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Abstract

We construct equivalent semi-norms of non-local Dirichlet forms on the Sierpiński gasket and apply these semi-norms to a convergence problem and a trace problem. We also construct explicitly a sequence of non-local Dirichlet forms with jumping kernels equivalent to $|x-y|^{-α-β}$ that converges exactly to local Dirichlet form.

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Meng Yang. 2017-10-02. Equivalent Semi-Norms of Non-Local Dirichlet Forms on the Sierpiński Gasket and Applications. https://doi.org/10.1007/s11118-017-9657-3

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