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This article is divided into two chapters. The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in the first chapter. Following a Fourier approach, we discuss some of the basic issues of the subject: main convergence theorem, Bloch approximation, estimates on second order derivatives, correctors for the medium, and so on. The second chapter is devoted to the discussion of some non-classical behaviour of vibration problems of periodic...
This article is divided into two chapters. The
classical problem of homogenization of elliptic operators with
periodically oscillating coefficients is revisited in the
first chapter. Following a Fourier approach, we discuss some
of the basic issues of the subject: main convergence theorem,
Bloch approximation, estimates on second order derivatives,
correctors for the medium, and so on. The second chapter is
devoted to the discussion of some non-classical behaviour of
vibration problems of periodic...
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