Homogenization of spectral problems in bounded domains with doubly high contrasts

Details Homogenization of spectral problems in bounded domains with doubly high contrasts Homogenization of spectral problems in bounded domains with doubly high contrasts

2007-11-15

arxiv.org/abs/0711.2405v1

Mathematics

Spectral Theory

23 pages, 2 figures

Scientific paper

Homogenization of a spectral problem in a bounded domain with a high contrast in both stiffness and density is considered. For a special critical scaling, two-scale asymptotic expansions for eigenvalues and eigenfunctions are constructed. Two-scale limit equations are derived and relate to certain non-standard self-adjoint operators. In particular they explicitly display the first two terms in the asymptotic expansion for the eigenvalues, with a surprising bound for the error of order \epsilon^{5/4} proved.

Affiliated with

Also associated with

No associations

Rating

Homogenization of spectral problems in bounded domains with doubly high contrasts does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Homogenization of spectral problems in bounded domains with doubly high contrasts, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homogenization of spectral problems in bounded domains with doubly high contrasts will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-215040