Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222508 | Nonlinear Analysis: Theory, Methods & Applications | 2019 | 38 Pages |
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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Authors
I. Antón, J. López-Gómez,