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
Recommended Citation
Jimenez, S., & Lipton, R. (2010). Correctors and field fluctuations for the pIe{cyrillic, ukrainian}(x)-Laplacian with rough exponents. Journal of Mathematical Analysis and Applications, 372 (2), 448-469. https://doi.org/10.1016/j.jmaa.2010.07.014