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math.AP2012★ 1 cited
Applications of Fourier analysis in homogenization of Dirichlet problem II. estimates
Hayk Aleksanyan, Per Sjölin, Henrik Shahgholian
Let $u_\e$ be a solution to the system $$ \mathrm{div}(A_\e(x) \nabla u_{\e}(x))=0 \text{\ in} D, \qquad u_{\e}(x)=g(x,x/\e) \text{\ on}\partial D, $$ where ($d \…
math.AP2012
Applications of Fourier analysis in homogenization of Dirichlet problem I. Pointwise Estimates
Hayk Aleksanyan, Henrik Shahgholian, Per Sjölin
In this paper we prove convergence results for homogenization problem for solutions of partial differential system with rapidly oscillating Dirichlet data. Our method is based on a…