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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 102, Issue 1, March 2008

Actions on Environment under uncertainty: stochastic formulation and the associated deterministic problem

Content Provider	Springer Nature Link
Author	Díaz, J. I. Faghloumi, Ch.
Copyright Year	2008
Abstract	An application of the results of this paper proves that there is not always an economic benefit when destroying the environment for planting an alternative industrial project. Our criterion, to act, to delay or to deny the industrial investment over the environment, is given in terms of the free boundary associated to a deterministic degenerate obstacle problem (on an unbounded domain) associated to the stochastic optimal control problem formulated, initially, in terms of some suitable stochastic diffusion processes. The localizing estimates on the free boundary are obtained through a suitable spatial change of variables and by working with a suitable distance associated to the coefficient of the elliptic operator.Una interpretación de los resultados de este trabajo muestra que no siempre hay beneficio Económico cuando se destruye el medio ambiente para la implantación de un proyecto industrial alternativo. Nuestro criterio, de actuar, retrasar o negar la inverseón industrial sobre el medio ambiente, viene dado en términos de la frontera libre asociada a un problema de obstáculo determinista degenerado (sobre un dominio no acotado) asociado al problema estocástico de control óptimo formulado, inicialmente, en términos de ciertos procesos de difusión estocásticos.
Starting Page	335
Ending Page	353
Page Count	19
File Format	PDF
ISSN	15787303
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
Volume Number	102
Issue Number	2
e-ISSN	15791505
Language	Spanish
Publisher	Springer-Verlag
Publisher Date	2008-01-01
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	degenerate obstacle problem unbounded domain stochastic optimal control problem environmental economy Stochastic partial differential equations Optimal stochastic control Environmental economics Mathematics Applications of Mathematics Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Geometry and Topology Applied Mathematics Algebra and Number Theory Analysis Computational Mathematics

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