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arXiv · 1906.01289

Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton-Jacobi equations with inward drift

Emmanuel Chasseigne·Naoyuki Ichihara
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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.

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Emmanuel Chasseigne, Naoyuki Ichihara. 2019-06-04. Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton-Jacobi equations with inward drift. https://arxiv.org/abs/1906.01289

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