Differential Inequalities and Flow-Invariance via Linear Functionals
Abstract
**Please note that the full text is embargoed** ABSTRACT: This paper deals with flow-invariance properties with respect to [see pdf for notation] and resulting comparison inequalities. Both the order relation He and the regularity conditions on x are defined, in a general manner, in terms of a specified set of linear functionals, S. This permits greater flexibility for applications e.g., a
proper choice of S gives the PDE operators of the form [see pdf for notation] where [see pdf for notation], an appropriate quasimonotonicity property.