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arXiv · 1908.01168

Explicit positive solutions to $G$-heat equations and the application to $G$-capacities

Mingshang Hu·Yifan Sun
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Abstract

In this paper, we study a class of explicit positive solutions to $G$-heat equations by solving second order nonlinear ordinary differential equations. Based on the positive solutions, we give the sharp order of $G$-capacity $c_{\sigma}\left( \left[ -\varepsilon,\varepsilon \right] \right) $ when $\varepsilon \rightarrow0$.

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Mingshang Hu, Yifan Sun. 2019-08-03. Explicit positive solutions to $G$-heat equations and the application to $G$-capacities. https://arxiv.org/abs/1908.01168

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