On Non-Autonomous Integro-Differential-Algebraic Evolutionary Problems

TL;DR

This paper extends a well-posedness technique for evolutionary equations to a broader class of non-autonomous integro-differential-algebraic problems, demonstrating parameter independence of solution operators.

Contribution

It generalizes existing methods to more complex equations and shows that solution operators are unaffected by certain space parameters.

Findings

Broader applicability of well-posedness techniques

Parameter independence of solution operators

Extension to non-autonomous integro-differential-algebraic equations

Abstract

In this article, we show that a technique for showing well-posedness results for evolutionary equations in the sense of [13] established in [16] applies to a broader class of non-autonomous integro-differential-algebraic equations. Using the concept of evolutionary mappings we prove that the respective solution operators do not depend on certain parameters describing the underlying spaces in which the well-posedness results are established.