A Nonlinear Evolution Equation in an Ordered Banach Space, Reconsidered
Dynamical Systems
2019-08-06 v2 Analysis of PDEs
Functional Analysis
Abstract
Results of a previous paper [Commun. Contemp. Math., 09 (2007) 217-251] on the existence of solutions to a nonlinear evolution equation in an abstract Lebesgue space, arising from kinetic theory, are re-obtained in the more general setting of a real ordered Banach space, with additive norm on the positive cone, which is not necessarily a (Banach) lattice. In addition, an easily correctable technical error in the aforementioned paper is pointed out, and repaired.
Cite
@article{arxiv.1905.00193,
title = {A Nonlinear Evolution Equation in an Ordered Banach Space, Reconsidered},
author = {Cecil P. Grünfeld},
journal= {arXiv preprint arXiv:1905.00193},
year = {2019}
}
Comments
in expression (35), the function's domain was re-defined; minor related changes were included