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

DOI10.1214/EJP.v17-2062zbMath1261.60068OpenAlexW2125273879MaRDI QIDQ428661

Leszek Slominski, Andrzej Rozkosz

Publication date: 22 June 2012

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/ejp.v17-2062

zbMATH Keywords

entropy solutionmeasure databackward stochastic differential equationsemilinear elliptic obstacle problem

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) PDEs with measure (35R06)

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