Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (1): 31-43.

Previous Articles     Next Articles

Existence and Uniqueness of Solutions for Sub-Linear Heat Equations with Almost Periodic Coefficients

Ren Chenchen*(),Yang Sudan()   

  1. School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022
  • Received:2024-05-16 Revised:2024-08-07 Online:2025-02-26 Published:2025-01-08
  • Supported by:
    NSFC(12361023);Two Thousand Talents Program of Jiangxi Province(jxsq2019201001);Key Project of Jiangxi Provincial NSF(20242BAB26001)

Abstract:

In nature, almost periodic functions are "much more" than periodic functions, and an influential generalization of almost periodic functions is the asymptotic almost periodic function proposed by the famous mathematician M Fréchet in the study of almost periodic motions with perturbations. Thanks to this perturbative term, asymptotically almost periodic functions have a wider range of applications. In this paper, we study the existence and uniqueness of asymptotically almost periodic solutions of sub-linear heat equations with asymptotically almost periodic coefficients.

Key words: asymptotically almost periodic solutions, weak solutions, sub-linear heat equations

CLC Number: 

  • O175.2
Trendmd