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Time analyticity of solutions to the heat equation on graphs


Authors: Fengwen Han, Bobo Hua and Lili Wang
Journal: Proc. Amer. Math. Soc. 149 (2021), 2279-2290
MSC (2010): Primary 05C10, 31C05
DOI: https://doi.org/10.1090/proc/15089
Published electronically: March 23, 2021
MathSciNet review: 4246782
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Abstract: We study the time analyticity of solutions to heat equations on graphs. Analogously to Dong and Zhang, we prove the time analyticity of solutions on graphs under some sharp growth condition.


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Additional Information

Fengwen Han
Affiliation: School of Mathematical Sciences, Fudan University, Shanghai 200433, People’s Republic of China
ORCID: 0000-0001-6708-9343
Email: 19110180022@fudan.edu.cn

Bobo Hua
Affiliation: School of Mathematical Sciences, LMNS, Fudan University, Shanghai 200433, People’s Republic of China; and Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200433, People’s Republic of China
MR Author ID: 865783
Email: bobohua@fudan.edu.cn

Lili Wang
Affiliation: School of Mathematical Sciences, Fudan University, Shanghai 200433, Peoples Republic of China; and College of Mathematics and Information, FJKLMAA, Fujian Normal University, Fuzhou, 350108, China
Email: lili_wang@fudan.edu.cn

Received by editor(s): November 7, 2019
Received by editor(s) in revised form: February 28, 2020
Published electronically: March 23, 2021
Additional Notes: The second author was supported by NSFC, no. 11831004 and no. 11826031.
The third author was supported by NSFC, no. 11671141, China Postdoctoral Science Foundation, no. 2019M651332, Shanghai Post-doctoral Excellence Program, no. 2018170, and NSFC, no. 11961131001.
The second author is the corresponding author.
Communicated by: Guofang Wei
Article copyright: © Copyright 2021 American Mathematical Society