Clifford algebras and Maxwell's equations in Lipschitz domains

We present a simple, Clifford algebra‐based approach to several key results in the theory of Maxwell's equations in non‐smooth subdomains of ℝ^m. Among other things, we give new proofs to the boundary energy estimates of Rellich type for Maxwell's equations in Lipschitz domains from 20, 10], discuss radiation conditions and the case of variable wave number. Copyright © 1999 John Wiley & Sons, Ltd.