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.

引用

页码：5291 / 5302

页数：12