# W2,2 Interior convergence for some class of elliptic anisotropic singular perturbation problems

## TL;DR

This paper investigates the asymptotic behavior of solutions to a class of anisotropic elliptic singular perturbation problems within specific pseudo Sobolev spaces, providing insights into their interior convergence properties.

## Contribution

It introduces new analysis of interior convergence for anisotropic elliptic problems with singular perturbations in pseudo Sobolev spaces.

## Key findings

- Established interior convergence results for anisotropic elliptic problems.
- Analyzed asymptotic behavior of solutions in pseudo Sobolev spaces.
- Provided theoretical framework for singular perturbation analysis.

## Abstract

In this paper, we deal with anisotropic singular perturbations of some class of elliptic problem. We study the asymptotic behavior of the solution in certain second order pseudo Sobolev space.