Universidad Complutense de Madrid
E-Prints Complutense

Analysis of a degenerate obstacle problem on an unbounded set arising in the environment



Downloads per month over past year

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

[img] PDF
Restringido a Repository staff only


Official URL: http://www.springerlink.com/content/h4t9a3t0jq7peatm/fulltext.pdf



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
Uncontrolled Keywords:elliptic free boundary; degenerate operator; unbounded domain; environmental policy
Subjects:Sciences > Mathematics > Differential geometry
Sciences > Mathematics > Differential equations
ID Code:15524
Deposited On:07 Jun 2012 08:23
Last Modified:12 Dec 2018 15:07

Origin of downloads

Repository Staff Only: item control page