Download E-books Homogenization (Translations of Mathematical Monographs) PDF

By G. A. Chechkin

Homogenization is a suite of strong strategies in partial differential equations which are used to review differential operators with speedily oscillating coefficients, boundary price issues of swiftly various boundary stipulations, equations in perforated domain names, equations with random coefficients, and different gadgets of theoretical and sensible curiosity. The booklet makes a speciality of a variety of facets of homogenization conception and comparable subject matters. It contains classical effects and strategies of homogenization thought, in addition to sleek topics and methods built within the final decade. unique recognition is paid to averaging of random parabolic equations with decrease order phrases, to homogenization of singular buildings and measures, and to issues of swiftly alternating boundary stipulations. The booklet includes many routines, which aid the reader to higher comprehend the fabric provided. the entire major effects are illustrated with a great number of examples, starting from extremely simple to fairly complicated.

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