Exponential Stability for Maxwell-type Systems Revisited

TL;DR

This paper presents a straightforward method to establish exponential stability for Maxwell-type systems using resolvent estimates, requiring minimal smoothness assumptions on the domains involved.

Contribution

It introduces an elementary approach based on block operator matrices to prove exponential stability under minimal regularity conditions.

Findings

Exponential stability achieved with minimal domain smoothness.

Resolvent estimates effectively used for stability analysis.

Applicable to Maxwell-type systems with less restrictive assumptions.

Abstract

Considering a two-by-two block operator matrix system of Maxwell type, we present an elementary way of deducing exponential stability under minimal smoothness (and boundedness) requirements of the underlying domains when applications are concerned. The approach is based on resolvent estimates using block operator matrices.