Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator
Analysis of PDEs
2020-08-10 v1
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 [2001 J. Math. Biol.].
Keywords
Cite
@article{arxiv.1903.11757,
title = {Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator},
author = {Shuang Liu and Yuan Lou and Rui Peng and Maolin Zhou},
journal= {arXiv preprint arXiv:1903.11757},
year = {2020}
}
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11 pages, 0 figures