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arXiv · 1708.05863

Heat kernel estimates for time fractional equations

Zhen-Qing Chen·Panki Kim·Takashi Kumagai·Jian Wang
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Abstract

In this paper, we establish existence and uniqueness of weak solutions to general time fractional equations and give their probabilistic representations. We then derive sharp two-sided estimates for fundamental solutions of a family of time fractional equations in metric measure spaces.

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Zhen-Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang. 2017-08-19. Heat kernel estimates for time fractional equations. https://arxiv.org/abs/1708.05863

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