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Pré-Publication, Document De Travail Année : 2004

On the smooth-fit property for one-dimensional optimal switching problem

Résumé

This paper studies the problem of optimal switching for one-dimensional diffusion, which may be regarded as sequential optimal stopping problem with changes of regimes. The resulting dynamic programming principle leads to a system of variational inequa-lities, and the state space is divided into continuation regions and switching regions. By means of viscosity solutions approach, we prove the smoot-fit $C^1$ property of the value functions.
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Dates et versions

hal-00003055 , version 1 (12-10-2004)

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Huyen Pham. On the smooth-fit property for one-dimensional optimal switching problem. 2004. ⟨hal-00003055⟩
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