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arXiv · 1903.11757

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

Shuang Liu·Yuan Lou·Rui Peng·Maolin Zhou
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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.].

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Shuang Liu, Yuan Lou, Rui Peng, Maolin Zhou. 2019-03-28. Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator. https://doi.org/10.1090/proc%2F14653

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