Mathematics > Analysis of PDEs
[Submitted on 3 Sep 2024
]
Title: The principal eigenvalue problem for time-periodic nonlocal equations with drift
Title: 时间周期非局部方程中的主特征值问题
Abstract: In this work, we consider a general time-periodic linear transport equation with integral source term. We prove the existence of a Floquet principal eigenvalue, namely a real number such that the equation rescaled by this number admits nonnegative periodic solutions. We also prove the exponential attractiveness of these solutions. The method relies on general spectral results about positive operators.
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