Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator II: Small diffusion

Shuang Liu, Yuan Lou, Rui Peng, Maolin Zhou

科研成果: 期刊稿件文章同行评审

7 引用 (Scopus)

摘要

We investigate the effect of small diffusion on the principal eigenvalues of linear time-periodic parabolic operators with zero Neumann boundary conditions in one dimensional space. The asymptotic behaviors of the principal eigenvalues, as the diffusion coefficients tend to zero, are established for non-degenerate and degenerate spatial-temporally varying environments. A new finding is the dependence of these asymptotic behaviors on the periodic solutions of a specific ordinary differential equation induced by the drift. The proofs are based upon delicate constructions of super/sub-solutions and the applications of comparison principles.

源语言英语
页(从-至)4895-4930
页数36
期刊Transactions of the American Mathematical Society
374
7
DOI
出版状态已出版 - 2021
已对外发布

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