热方程解的整体有界性、稳定性和概周期性

IF 0.7 4区数学 Q2 MATHEMATICS

Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2019-01-01 DOI:10.1619/FESI.62.191

Yi Xie, Peidong Lei

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引用次数: 1

摘要

研究了一类线性和半线性抛物型方程整体有界解的存在性、稳定性和概周期性。我们给出了线性方程ut Du 1 / 4 luþ f ðx的较为完整的表征;TÞ，用参数l表示，全局有界解是否存在。同时，我们也得到了全局有界解稳定性的完整表征。

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On Global Boundedness, Stability and Almost Periodicity of Solutions for Heat Equations

This paper is concerned with the existence, stability and almost periodicity of global bounded solutions of linear and semilinear parabolic equations. We give a rather complete characterization to the linear equation ut Du 1⁄4 luþ f ðx; tÞ, in term of the parameter l, of whether or not the global bounded solutions exist. Also, we obtain a complete characterization on the stability of global bounded solutions.

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