带有渐近概周期系数的次线性热方程解的存在唯一性

Abstract

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

Ren Chenchen, Yang Sudan. Existence and Uniqueness of Solutions for Sub-Linear Heat Equations with Almost Periodic Coefficients[J].Acta mathematica scientia,Series A, 2025, 45(1): 31-43.

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

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