H. Aleksanyan

activity

20122017

most citedApplications of Fourier analysis in homogenization of Dirichlet problem III: Polygonal Domains

18 citations · 30 across the 8 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.AP2015★ 8 cited

Slow convergence in periodic homogenization problems for divergence type elliptic operators

Hayk Aleksanyan

We introduce a new constructive method for establishing lower bounds on convergence rates of periodic homogenization problems associated with divergence type elliptic operators. Th…

math.CA2015

$L^{2}$ -estimates for singular oscillatory integral operators

Hayk Aleksanyan, Henrik Shahgholian, Per Sjölin

In this note we study singular oscillatory integrals with linear phase function over hypersurfaces which may oscillate, and prove estimates of $L^{2} \mapsto L^{2}$ type for the operat…

Slow convergence in periodic homogenization problems for divergence type elliptic operators

L2-estimates for singular oscillatory integral operators

$L^{2}$ -estimates for singular oscillatory integral operators