Eigenvalue homogenization for quasilinear elliptic operators in one space dimension
Analysis of PDEs
2012-11-20 v3
Abstract
In this paper we study the rate of convergence of the eigenvalues of 1-dimensional rapidly oscillating laplacian type problems and find explicit order of convergence both in and in . Moreover, explicit bounds on the constant entering in the estimate are also obtained.
Cite
@article{arxiv.1203.2091,
title = {Eigenvalue homogenization for quasilinear elliptic operators in one space dimension},
author = {Julian Fernandez Bonder and Juan Pablo Pinasco and Ariel M. Salort},
journal= {arXiv preprint arXiv:1203.2091},
year = {2012}
}
Comments
This paper has been withdraw due to an improvement on the results that will be uploaded as a different article soon. The results in the new article will include also the ones in 1201.1219