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Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2012

Exponential convergence for a convexifying equation

Résumé

We consider an evolution equation similar to that introduced by Vese in [12] and whose solution converges in large time to the convex envelope of the initial datum. We give a stochastic control representation for the solution from which we deduce, under quite general assumptions that the convergence in the Lipschitz norm is in fact exponential in time.
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Dates et versions

hal-00637398 , version 1 (01-11-2011)

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Guillaume Carlier, Alfred Galichon. Exponential convergence for a convexifying equation. ESAIM: Control, Optimisation and Calculus of Variations, 2012, pp.x-xx. ⟨10.1051/cocv/2011163⟩. ⟨hal-00637398⟩
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