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arXiv · 1803.03231

Principal eigenvalue and maximum principle for cooperative periodic-parabolic systems

I Anton·J Lopez-Gomez
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Abstract

This paper classifies the set of supersolutions of a general class of periodic-parabolic problems in the presence of a positive supersolution. From this result we characterize the positivity of the underlying resolvent operator through the positivity of the associated principal eigenvalue and the existence of a positive strict supersolution. Lastly, this (scalar) characterization is used to characterize the strong maximum principle for a class of periodic-parabolic systems of cooperative type under arbitrary boundary conditions of mixed type.

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I Anton, J Lopez-Gomez. 2018-03-08. Principal eigenvalue and maximum principle for cooperative periodic-parabolic systems. https://arxiv.org/abs/1803.03231

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