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

Liu, Shuang; Lou, Yuan; Peng, Rui; Zhou, Maolin

doi:10.1090/proc/14653

Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator
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by Shuang Liu, Yuan Lou, Rui Peng and Maolin Zhou PDF

Proc. Amer. Math. Soc. 147 (2019), 5291-5302 Request permission

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.

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