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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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Almost periodic solutions of sublinear heat equations
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by Yi Xie and Peidong Lei PDF
Proc. Amer. Math. Soc. 146 (2018), 233-245 Request permission

Abstract:

This paper is concerned with the existence and uniqueness of positive almost periodic solutions of a class of sublinear heat equations. The results of this paper are the analogues of the corresponding results in the periodic case.
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Additional Information
  • Yi Xie
  • Affiliation: School of Mathematical Sciences, South China Normal University, Guangzhou 510631, People’s Republic of China
  • MR Author ID: 853035
  • Peidong Lei
  • Affiliation: School of Mathematical Sciences, South China Normal University, Guangzhou 510631, People’s Republic of China
  • MR Author ID: 616209
  • Email: leipd168@yeah.net
  • Received by editor(s): September 28, 2016
  • Received by editor(s) in revised form: February 19, 2017
  • Published electronically: August 7, 2017
  • Additional Notes: The research of the authors was partially supported by the Natural Science Foundation of Guangdong Province (grant No. S2013010015800) and KLSCK of Ministry of Education (grant No. 93K172012K03)
    The second author is the corresponding author
  • Communicated by: Yingfei Yi
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 233-245
  • MSC (2010): Primary 35K05, 35B15
  • DOI: https://doi.org/10.1090/proc/13734
  • MathSciNet review: 3723136