Heat kernel estimates for time fractional equations-Reference-Cited by-同舟云学术

Heat kernel estimates for time fractional equations

Published:2018-09-01 Issue:5 Volume:30 Page:1163-1192
ISSN:1435-5337
Container-title:Forum Mathematicum
language:
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Author:

Chen Zhen-Qing¹,Kim Panki²,Kumagai Takashi³,Wang Jian⁴

Affiliation:

1. Department of Mathematics, University of Washington, Seattle, WA 98195, USA

2. Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Building 27, 1 Gwanak-ro, Gwanak-gu, Seoul08826, Republic of Korea

3. Research Institute for Mathematical Sciences, Kyoto University, Kyoto606-8502, Japan

4. College of Mathematics and Informatics and Fujian Key Laboratory of Mathematical Analysis and Applications (FJKLMAA), Fujian Normal University, 350007Fuzhou, P. R. China

Abstract

AbstractIn 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.

Funder

National Research Foundation of Korea

National Natural Science Foundation of China

Japan Society for the Promotion of Science

Natural Science Foundation of Fujian Province

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2017-0192/pdf

Reference50 articles.