Analyticity for some degenerate evolution equations defined on domains with corners

TL;DR

This paper investigates the analyticity of semigroups generated by certain degenerate second-order differential operators on domains with corners, relevant to population dynamics models.

Contribution

It provides new results on the analyticity properties of semigroups for degenerate operators in complex geometries with corners.

Findings

Established conditions for semigroup analyticity on corner domains

Extended existing theory to degenerate second-order operators

Applied results to models in population dynamics

Abstract

We study the analyticity of the semigroups generated by some classes of degenerate second order differential operators in the space of continuous function on a domain with corners. These semigroups arise from the theory of dynamics of populations.