Principal eigenvalue and maximum principle for cooperative periodic-parabolic systems
Analysis of PDEs
2018-03-20 v2
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.
Cite
@article{arxiv.1803.03231,
title = {Principal eigenvalue and maximum principle for cooperative periodic-parabolic systems},
author = {I Anton and J Lopez-Gomez},
journal= {arXiv preprint arXiv:1803.03231},
year = {2018}
}
Comments
38 pages, 2 figures, Remarks on the generation of the paper at the end of the Introduction