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À propos de : Continuous dependence estimates for the ergodic problem of Bellman-Isaacs operators via the parabolic Cauchy problem        

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  • Continuous dependence estimates for the ergodic problem of Bellman-Isaacs operators via the parabolic Cauchy problem
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  • This paper concerns continuous dependence estimates for Hamilton-Jacobi-Bellman-Isaacs operators. We establish such an estimate for the parabolic Cauchy problem in the whole space  [0, +∞) × ℝ n and, under some periodicity and either ellipticity or controllability assumptions, we deduce a similar estimate for the ergodic constant associated to the operator. An interesting byproduct of the latter result will be the local uniform convergence for some classes of singular perturbation problems.
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  • cocv110107
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  • © EDP Sciences, SMAI, 2012
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  • EDP Sciences, SMAI
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