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

Shuang Liu; Yuan Lou; Rui Peng; Maolin Zhou

doi:10.1090/proc/14653

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

Shuang Liu
, Yuan Lou
, Rui Peng
, Maolin Zhou

Mathematics

Research output: Contribution to journal › Article › peer-review

34 Citations (Scopus)

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.

Original language	English
Article number	14653
Pages (from-to)	5291-5302
Journal	Proceedings of the American Mathematical Society
Volume	147
Issue number	12
Early online date	1 Jul 2019
DOIs	https://doi.org/10.1090/proc/14653
Publication status	Published - Dec 2019

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https://hdl.handle.net/1959.11/31589

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title = "Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator",

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 Pol{\'a}{\v c}ik.",

author = "Shuang Liu and Yuan Lou and Rui Peng and Maolin Zhou",

year = "2019",

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AU - Lou, Yuan

AU - Peng, Rui

AU - Zhou, Maolin

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Y1 - 2019/12

N2 - 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.

AB - 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.

U2 - 10.1090/proc/14653

DO - 10.1090/proc/14653

M3 - Article

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VL - 147

SP - 5291

EP - 5302

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

M1 - 14653

ER -

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

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