具有凹非线性的概周期抛物型方程稳定解的空间齐次性
Spatial-Homogeneity of Stable Solutions of Almost-Periodic Parabolic Equations with Concave Nonlinearity
摘要：
研究了概周期抛物型方程稳定解的空间齐次性。证明了当非线性项满足凸或凹条件时，任何线性稳定的几乎自守解都是空间齐次的，并且解的频率模包含在非线性项的频率模中.
英文摘要：
We study the spatial-homogeneity of stable solutions of almost-periodic parabolic equations. It is shown that if the nonlinearity satisfies a concave or convex condition, then any linearly stable almost automorphic solution is spatially-homogeneous; and moreover, the frequency module of the solution is contained in that of the nonlinearity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
