English

Heat kernel estimates for time fractional equations

Probability 2017-09-12 v2

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.

Keywords

Cite

@article{arxiv.1708.05863,
  title  = {Heat kernel estimates for time fractional equations},
  author = {Zhen-Qing Chen and Panki Kim and Takashi Kumagai and Jian Wang},
  journal= {arXiv preprint arXiv:1708.05863},
  year   = {2017}
}

Comments

34 pages

R2 v1 2026-06-22T21:18:36.927Z