数学物理学报2025,Vol.45Issue(1) :31-43.

带有渐近概周期系数的次线性热方程解的存在唯一性

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

任琛琛 杨苏丹
数学物理学报2025,Vol.45Issue(1) :31-43.

带有渐近概周期系数的次线性热方程解的存在唯一性

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

任琛琛 1杨苏丹1
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作者信息

  • 1. 江西师范大学数学与统计学院 南昌 330022
  • 折叠

摘要

在自然界中,概周期函数要比周期函数"多得多".而概周期函数的一个重要推广就是著名数学家M Fréchet研究带扰动的概周期运动时提出的渐近概周期函数.得益于这一扰动项,渐近概周期函数的适用范畴也更加广泛.该文研究系数具有渐近概周期性的次线性热方程渐近概周期解的存在唯一性.

Abstract

In nature,almost periodic functions are"much more"than periodic functions,and an influ-ential 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 perturbation-s.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.

关键词

渐近概周期解/弱解/次线性热方程

Key words

asymptotically almost periodic solutions/weak solutions/sub-linear heat equations

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出版年

2025
数学物理学报
中国科学院武汉物理与数学研究所

数学物理学报

CSCD北大核心
影响因子:0.266
ISSN:1003-3998
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