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 Poláčik [2001 J. Math. Biol.].

arXiv comment11 pages, 0 figures

References in corpus (1)

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