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# A unifying perspective on linear continuum equations prevalent in physics. Part VII: Boundary value and scattering problems

@inproceedings{Milton2021AUP,
title={A unifying perspective on linear continuum equations prevalent in physics. Part VII: Boundary value and scattering problems},
author={Graeme W. Milton},
year={2021}
}
• G. Milton
• Published 23 September 2021
• Physics, Mathematics
We consider simply connected bodies or regions of finite extent in space or space-time and write conservation laws associated with the equations in Parts I-IV. We review earlier work where, for elliptic equations, the boundary value problem is reformulated as a problem in the abstract theory of composites and the associated effective operator is equated with the Dirichlet-to-Neumann map that governs the response of the body. The dielectric polarizability problem and acoustic and electromagnetic… Expand
1 Citations
A unifying perspective on linear continuum equations prevalent in physics. Part II: Canonical forms for time-harmonic equations
Following some past advances, we reformulate a large class of linear continuum science equations in the format of the extended abstract theory of composites so that we can apply this theory to betterExpand

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