Title

Correctors and field fluctuations for the pIe{cyrillic, ukrainian}(x)-Laplacian with rough exponents

Document Type

Article

Publication Date

12-1-2010

Abstract

We provide a corrector theory for the strong approximation of fields inside composites made from two materials with different power-law behavior. The correctors are used to develop bounds on the local singularity strength for gradient fields inside micro-structured media. The bounds are multi-scale in nature and can be used to measure the amplification of applied macroscopic fields by the micro-structure. © 2010 Elsevier Inc.

Publication Source (Journal or Book title)

Journal of Mathematical Analysis and Applications

First Page

448

Last Page

469

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