Approximate Green functions as a tool to prove correctness of a formal approximation in a model of competing and diffusing species

Aart van Harten and Els Vader-Burger

Vol. 125 (1986), No. 1, 225–249

DOI: 10.2140/pjm.1986.125.225

Abstract

The purpose of this paper is two-fold; firstly, we shall derive some new results concerning a singular perturbation problem describing the stationary distribution of two competing and diffusing species; secondly, we want to demonstrate the power of a technique using approximate Green functions to prove the validity of a constructed formal approximation in a singular perturbation problem.

Mathematical Subject Classification 2000

Primary: 92A15, 92A15

Secondary: 34B27, 34E05, 34E15

Milestones

Received: 2 January 1985

Published: 1 November 1986