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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Time analyticity of solutions to the heat equation on graphs
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by Fengwen Han, Bobo Hua and Lili Wang PDF
Proc. Amer. Math. Soc. 149 (2021), 2279-2290 Request permission

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.
References
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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
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 2279-2290
  • MSC (2010): Primary 05C10, 31C05
  • DOI: https://doi.org/10.1090/proc/15089
  • MathSciNet review: 4246782