paper

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

arXiv:1903.11757 · doi:10.1090/proc/14653

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 Poláčik [2001 J. Math. Biol.].

11 pages, 0 figures

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