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AbstractThis paper is a survey article on the theory and applications of infimal convolution. We consider the convex as well as the nonconvex case. In particular, we provide a detailed investigation of the regularizing effects of infimal convolution, and study continuity properties of the operation with respect to notions of variational convergence. Several examples are included and well-known results are complemented, unified or extended in various ways.
CONTENTS1. Introduction and...
The electromagnetic initial-boundary value problem for a cavity enclosed by perfectly conducting walls is considered. The cavity medium is defined by its permittivity and permeability which vary continuously in space. The electromagnetic field comes from a source in the cavity. The field is described by a magnetic vector potential satisfying a wave equation with initial-boundary conditions. This description through is rigorously shown to give a unique solution of the problem and is the starting...
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