# 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} }

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…

## One Citation

A unifying perspective on linear continuum equations prevalent in physics. Part II: Canonical forms for time-harmonic equations

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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 better…

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