### Impacto

Díaz Díaz, Jesús Ildefonso and Faghloumi, Ch.
(2002)
*Analysis of a degenerate obstacle problem on an unbounded set arising in the environment.*
Applied Mathematics & Optimization, 45
(3).
pp. 251-267.
ISSN 0095-4616

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## Abstract

We study a class of optimization dynamics problems related to investment under uncertainty. The general model problem is reformulated in terms of an obstacle problem associated to a second-order elliptic operator which is not in divergence form. The spatial domain is unbounded and no boundary conditions are a priori specified. By using the special structure of the differential operator and the spatial domain, and some approximating arguments, we show the existence and uniqueness of a solution of the problem. We also study the regularity of the solution and give some estimates on the location of the coincidence set.

Item Type: | Article |
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Uncontrolled Keywords: | elliptic free boundary; degenerate operator; unbounded domain; environmental policy |

Subjects: | Sciences > Mathematics > Differential geometry Sciences > Mathematics > Differential equations |

ID Code: | 15524 |

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Deposited On: | 07 Jun 2012 08:23 |

Last Modified: | 06 Feb 2014 10:26 |

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