Reflected backward stochastic differential equation with jumps and RCLL obstacle
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Publication:2378594
DOI10.1016/j.bulsci.2008.03.005zbMath1157.60057OpenAlexW2048680917WikidataQ115359988 ScholiaQ115359988MaRDI QIDQ2378594
Publication date: 13 January 2009
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/44197
penalization methodPoisson random measureBackward stochastic differential equationmonotonic limit theoremreflection backward stochastic differential equation
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic integral equations (60H20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adapted solution of a backward stochastic differential equation
- Zero-sum stochastic differential games and backward equations
- Backward stochastic differential equations with jumps and related nonlinear expectations
- Monotonic limit theorem of BSDE and nonlinear decomposition theorem of Doob-Meyer's type
- Reflected solutions of backward SDE's, and related obstacle problems for PDE's
- Reflected backward stochastic differential equation with jumps and random obstacle
- Probabilistic approach to homogenization of viscosity solutions of parabolic PDEs
- Penalization method for reflected backward stochastic differential equations with one r.c.l.l. barrier
- Backward stochastic differential equations and integral-partial differential equations
- Probabilistic approach to homogenizations of systems of quasilinear parabolic PDEs with periodic structures
- Necessary Conditions for Optimal Control of Stochastic Systems with Random Jumps
- Backward Stochastic Differential Equations in Finance
- Reflected BSDE's with discontinuous barrier and application
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