分数阶抛物方程整体解的径向对称性与单调性  

The Radial Symmetry and Monotonicity of Entire Solutions for Fractional Parabolic Equations

作　　者：唐炎娟 Tang Yanjuan(School of Mathematics and Statistics,Hunan First Normal University,Changsha 410205)

机构地区：[1]湖南第一师范学院数学与统计学院,长沙410205

出　　处：《数学物理学报（A辑）》2023年第5期1409-1416,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(12201201)。

摘　　要：该文研究了分数阶抛物方程整体解的径向对称性与单调性.为了得出整体解的对称性与单调性,运用陈文雄和武乐云[9]取得的狭窄区域原则和反对称函数的极值原理.除此之外,为了克服分数阶Laplacian算子的非局部性,采用了分数阶抛物形式的移动平面法.This paper mainly develops the radial symmetry and monotonicity of entire solutions for fractional parabolic equations.To obtain the symmetry and monotonicity of entire solutions,the narrow region principle and maximum principle for antisymmetric functions in[9]are needed.Furthermore,to circumvent the difficulty from nonlocality for the fractional Laplacian,a fractional parabolic version of the method of moving planes will be adopted.

关 键 词：分数阶抛物方程 整体解 对称性 单调性 移动平面法 

分 类 号：O175[理学—数学]