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

科研成果: 期刊稿件 › 文章 › 同行评审

23 引用（Scopus）

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 Poláčik.

源语言	英语
页（从-至）	5291-5302
页数	12
期刊	Proceedings of the American Mathematical Society
卷	147
期	12
DOI	https://doi.org/10.1090/proc/14653
出版状态	已出版 - 2019
已对外发布	是

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Liu, S., Lou, Y., Peng, R., & Zhou, M. (2019). Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator. Proceedings of the American Mathematical Society, 147(12), 5291-5302. https://doi.org/10.1090/proc/14653

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

keywords = "Asymptotics, Frequency, Monotonicity, Principal eigenvalue, Time-periodic parabolic operator",

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

note = "Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.",

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T1 - Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator

AU - Liu, Shuang

AU - Lou, Yuan

AU - Peng, Rui

AU - Zhou, Maolin

PY - 2019

Y1 - 2019

N2 - 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 Poláčik.

AB - 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 Poláčik.

KW - Asymptotics

KW - Frequency

KW - Monotonicity

KW - Principal eigenvalue

KW - Time-periodic parabolic operator

UR - http://www.scopus.com/inward/record.url?scp=85074297458&partnerID=8YFLogxK

U2 - 10.1090/proc/14653

DO - 10.1090/proc/14653

M3 - Article

AN - SCOPUS:85074297458

SN - 0002-9939

VL - 147

SP - 5291

EP - 5302

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

ER -

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

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