MONOTONICITY OF THE PRINCIPAL EIGENVALUE FOR A LINEAR TIME-PERIODIC PARABOLIC OPERATOR

被引：20
|
作者：
Liu, Shuang [1 ]
Lou, Yuan [2 ]
Peng, Rui [3 ]
Zhou, Maolin [4 ]
机构：
[1] Renmin Univ China, Inst Math Sci, Beijing 100872, Peoples R China
[2] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA
[3] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
[4] Univ New England, Sch Sci & Technol, Dept Math, Armidale, NSW 2341, Australia
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 12期
基金：
澳大利亚研究理事会; 美国国家科学基金会;
关键词：
Time-periodic parabolic operator; principal eigenvalue; frequency; monotonicity; asymptotics; ELLIPTIC OPERATOR; ADVECTION; DIFFUSION;
D O I：
10.1090/proc/14653
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the effect of frequency on the principal eigenvalue of a time-periodic parabolic operator with Dirichlet, Robin, or Neumann boundary conditions. The monotonicity and asymptotic behaviors of the principal eigenvalue with respect to the frequency parameter are established. Our results prove a conjecture raised by Hutson, Michaikow, and Polacik.
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页码：5291 / 5302
页数：12
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