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Stochastic representation of entropy solutions of semilinear elliptic obstacle problems with measure data

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1.	Title	Title of document	Stochastic representation of entropy solutions of semilinear elliptic obstacle problems with measure data
2.	Creator	Author's name, affiliation, country	Andrzej Rozkosz; Nicolaus Copernicus University; Poland
2.	Creator	Author's name, affiliation, country	Leszek Slominski; Nicolaus Copernicus University; Poland
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	backward stochastic differential equation; semilinear elliptic obstacle problem; measure data; entropy solution
3.	Subject	Subject classification	60H99; 35J87; 35R06
4.	Description	Abstract	We consider semilinear obstacle problem with measure data associated with uniformly elliptic divergence form operator. We prove existence and uniqueness of entropy solution of the problem and provide stochastic representation of the solution in terms of some generalized reflected backward stochastic differential equations with random terminal time.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2012-05-31
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/2062
10.	Identifier	Digital Object Identifier	10.1214/EJP.v17-2062
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 17
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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