The principal eigenvalue problem for a strongly anisotropic second-order elliptic operator
Analysis of PDEs
2025-08-25 v3
Abstract
We consider an elliptic operator in which the second-order term is very small in one direction. In this regime, we study the behaviour of the principal eigenfunction and of the principal eigenvalue. Our first result deals with the limit of the principal eigenfunction and is shown with a representation of the principal eigenfunction as a quasi-stationary distribution. Subsequent results deal with the limit of the principal eigenvalue and are shown using Hamilton-Jacobi equations.
Keywords
Cite
@article{arxiv.2311.12232,
title = {The principal eigenvalue problem for a strongly anisotropic second-order elliptic operator},
author = {Nathanaël Boutillon},
journal= {arXiv preprint arXiv:2311.12232},
year = {2025}
}
Comments
44 pages, 5 figures