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Article Dans Une Revue Nonlinear Differential Equations and Applications Année : 2022

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

Résumé

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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Dates et versions

hal-02145102 , version 1 (01-06-2019)

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Emmanuel Chasseigne, Naoyuki Ichihara. Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton-Jacobi equations with inward drift. Nonlinear Differential Equations and Applications, 2022, 29 (4), pp.34. ⟨10.1007/s00030-022-00769-0⟩. ⟨hal-02145102⟩
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