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

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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Submitted on : Saturday, June 1, 2019 - 2:26:48 PM
Last modification on : Wednesday, June 5, 2019 - 1:36:43 AM

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  • HAL Id : hal-02145102, version 1
  • ARXIV : 1906.01289

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Emmanuel Chasseigne, Naoyuki Ichihara. Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton-Jacobi equations with inward drift. 2019. ⟨hal-02145102⟩

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