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arXiv · 2408.09890

On the Generalized Harmonic Measure

Duchao Liu·Yunjie Wang·Qiuli Li
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Abstract

The axiomatization of harmonic measure theory is established, including the generalized maximum principle, Harnack inequality and Harnack principle. As the applications of the established theory, Dahlberg's theory is generalized. The theory provides an interpretation from the measure theory view point of the elliptic equation theory.

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Duchao Liu, Yunjie Wang, Qiuli Li. 2024-08-19. On the Generalized Harmonic Measure. https://arxiv.org/abs/2408.09890

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