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Homogenization of Multiple Integrals

Homogenization of Multiple Integrals

Hardcover

Series: Oxford Lecture Mathematics and Its Applications, Book 12

Medical ReferenceCalculusGeneral Mathematics

ISBN10: 019850246X
ISBN13: 9780198502463
Publisher: Clarendon Press
Published: Feb 18 1999
Pages: 312
Weight: 1.36
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
Homogenization theory describes the macroscopic properties of structures with fine microstructure. Its applications are diverse and include optimal design and the study of composites. The theory relies on the asymptotic analysis of fast-oscillating differential equations or integral functionals. This book is an introduction to the homogenization of nonlinear integral functionals. It emphasizes general results that do not rely on smoothness or convexity assumptions. The book presents a rigorous mathematical description of the overall properties of such functionals, with various applications that range from cellular elastic materials to Riemannian metrics and Hamilton-Jacobi equations. The book also includes self-contained introductions to the theories of gamma-convergence and weak lower semicontinuous functionals.

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