Titlebook: Getting Acquainted with Homogenization and Multiscale; Leonid Berlyand,Volodymyr Rybalko Textbook 2018 Springer Nature Switzerland AG 2018

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名義上

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Kommandoprozeduren mit Eingaben,roblems with tiny holes, the transition from oscillating Riemannian metric to the homogenized Finsler metric in geometry, the negative effective Poisson ratio in heterogeneous elastic media and the development of new scales in nonconvex singularly perturbed variational problems.

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framework and presenting some general facts on .-convergence, we then proceed with the homogenization of integral functionals. We use a 1D setting to explain ideas of the techniques while minimizing the technicalities.

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Preliminaries, the theory of weak solutions of PDEs. We also review several results from elementary analysis which are typically not covered in standard undergraduate courses (e.g., convex analysis and semicontinuity).