Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: Jie Zhao and Juan Wang
Pages: [97] - [116]
Received Date: November 12, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121886
In this paper, we study the asymptotic behaviour of solutions for
homogenization problems of partial differential equation with a very
rapidly oscillating locally periodic boundary. As a consequence, we
show that 
converges to 
in the 
and the error is 
or 
where and are solutions of oscillating and homogenized
boundary problems, respectively. Our method is based on correctors
that can be used to obtain effective approximation.
homogenization, error estimate, oscillating boundary.
