Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator

Title
Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator
Publication Date
2019-12
Author(s)
Liu, Shuang
Lou, Yuan
Peng, Rui
Zhou, Maolin
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
American Mathematical Society
Place of publication
United States of America
DOI
10.1090/proc/14653
UNE publication id
une:1959.11/31589
Abstract

We investigate the effect of frequency on the principal eigenvalue of a timeperiodic 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 Poláčik.
Link
link
Citation
Proceedings of the American Mathematical Society, 147(12), p. 5291-5302
ISSN
1088-6826
0002-9939
Start page
5291
End page
5302

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