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

Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/31589

Title:	Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator
Contributor(s):	Liu, Shuang (author); Lou, Yuan (author); Peng, Rui (author); Zhou, Maolin (author)
Publication Date:	2019-12
Early Online Version:	2019-07-01
DOI:	10.1090/proc/14653
Handle Link:	https://hdl.handle.net/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.
Publication Type:	Journal Article
Source of Publication:	Proceedings of the American Mathematical Society, 147(12), p. 5291-5302
Publisher:	American Mathematical Society
Place of Publication:	United States of America
ISSN:	1088-6826 0002-9939
Fields of Research (FoR) 2008:	010299 Applied Mathematics not elsewhere classified
Fields of Research (FoR) 2020:	490199 Applied mathematics not elsewhere classified
Socio-Economic Objective (SEO) 2008:	970101 Expanding Knowledge in the Mathematical Sciences
Socio-Economic Objective (SEO) 2020:	280118 Expanding knowledge in the mathematical sciences
Peer Reviewed:	Yes
HERDC Category Description:	C1 Refereed Article in a Scholarly Journal
Appears in Collections:	Journal Article School of Science and Technology

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