Acta mathematica scientia,Series A

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Existence and uniqueness of solutions for sub-linear heat equations with almost periodic coefficients

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  • Received:2024-05-16 Revised:2024-08-05 Online:2024-12-13 Published:2024-12-13

Abstract: Abstract: In nature, almost periodic functions are ”much more” than periodic functions, and an inluential generalization of almost periodic functions is the asymptotic almost periodic function proposed by the famous mathematician M.Frechet 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: 

  • O
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