Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton-Jacobi equations with inward drift
Analysis of PDEs
2019-06-05 v1
Abstract
This paper is concerned with the ergodic problem for viscous Hamilton-Jacobi equations having superlinear Hamiltonian, inward-pointing drift, and positive potential which vanishes at infinity. Assuming some radial symmetry of the drift and the potential outside a ball, we establish sharp estimates of the generalized principal eigenvalue with respect to a perturbation of the potential.
Keywords
Cite
@article{arxiv.1906.01289,
title = {Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton-Jacobi equations with inward drift},
author = {Emmanuel Chasseigne and Naoyuki Ichihara},
journal= {arXiv preprint arXiv:1906.01289},
year = {2019}
}