18 citations · 19 across the 3 of their papers we have counts for
4 papers
Applications of Fourier analysis in homogenization of Dirichlet problem III: Polygonal Domains
Hayk Aleksanyan, Henrik Shahgholian, Per Sjölin
In this paper we prove convergence results for the homogenization of the Dirichlet problem with rapidly oscillating boundary data in convex polygonal domains. Our analysis is based…
Estimates for multiparameter maximal operators of Schrödinger type
Per Sjölin, Fernando Soria
Multiparameter maximal estimates are considered for operators of Schrödinger type. Sharp and almost sharp results, that extend work by Rogers and Villarroya, are obtained. We provi…
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 \…
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…