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Volumn 43, Issue 4, 2015, Pages 1823-1865

Feynman-KAC representation for hamilton-jacobi-bellman IPDE

Author keywords

BSDE with jumps; Constrained BSDE; Hamilton jacobi bellman equation; Inf convolution; Nonlinear integral PDE; Regime switching jump diffusion; Semiconcave approximation; Viscosity solutions

Indexed keywords


EID: 84930838763     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/14-AOP920     Document Type: Article
Times cited : (57)

References (27)
  • 2
    • 0002508109 scopus 로고    scopus 로고
    • Backward stochastic differential equations and integral-partial differential equations
    • BARLES, G., BUCKDAHN, R. and PARDOUX, E. (1997). Backward stochastic differential equations and integral-partial differential equations. Stochastics Stochastics Rep. 60 57-83.
    • (1997) Stochastics Stochastics Rep. , vol.60 , pp. 57-83
    • Barles, G.1    Buckdahn, R.2    Pardoux, E.3
  • 3
    • 43049183444 scopus 로고    scopus 로고
    • Second-order elliptic integro-differential equations: Viscosity solutions' theory revisited
    • BARLES, G. and IMBERT, C. (2008). Second-order elliptic integro-differential equations: Viscosity solutions' theory revisited. Ann. Inst. H. Poincaré Anal. Non Linéaire 25 567-585.
    • (2008) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.25 , pp. 567-585
    • Barles, G.1    Imbert, C.2
  • 4
    • 2342427092 scopus 로고    scopus 로고
    • Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations
    • BOUCHARD, B. and TOUZI, N. (2004). Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations. Stochastic Process. Appl. 111 175-206.
    • (2004) Stochastic Process. Appl. , vol.111 , pp. 175-206
    • Bouchard, B.1    Touzi, N.2
  • 9
    • 0031542653 scopus 로고    scopus 로고
    • Backward stochastic differential equations in finance
    • EL KAROUI, N., PENG, S. andQUENEZ, M. C. (1997). Backward stochastic differential equations in finance. Math. Finance 7 1-71.
    • (1997) Math. Finance , vol.7 , pp. 1-71
    • El Karoui, N.1    Peng, S.2    Quenez, M.C.3
  • 10
    • 56349154556 scopus 로고    scopus 로고
    • Reflected backward stochastic differential equation with jumps and RCLL obstacle
    • ESSAKY, E. H. (2008). Reflected backward stochastic differential equation with jumps and RCLL obstacle. Bull. Sci. Math. 132 690-710.
    • (2008) Bull. Sci. Math. , vol.132 , pp. 690-710
    • Essaky, E.H.1
  • 11
  • 16
    • 77953547917 scopus 로고    scopus 로고
    • Backward SDEs with constrained jumps and quasi-variational inequalities
    • KHARROUBI, I., MA, J., PHAM, H. and ZHANG, J. (2010). Backward SDEs with constrained jumps and quasi-variational inequalities. Ann. Probab. 38 794-840.
    • (2010) Ann. Probab. , vol.38 , pp. 794-840
    • Kharroubi, I.1    Ma, J.2    Pham, H.3    Zhang, J.4
  • 18
    • 0000268709 scopus 로고
    • Backward stochastic differential equations and quasilinear parabolic partial differential equations
    • B. Rozovskiin and R. Sowers, eds.). Lecture Notes in Control and Inform. Sci, Springer, Berlin
    • PARDOUX, É. and PENG, S. (1992). Backward stochastic differential equations and quasilinear parabolic partial differential equations. In Stochastic Partial Differential Equations and Their Applications (Charlotte, NC, 1991) (B. Rozovskiin and R. Sowers, eds.). Lecture Notes in Control and Inform. Sci. 176 200-217. Springer, Berlin.
    • (1992) Stochastic Partial Differential Equations and Their Applications (Charlotte, NC, 1991) , vol.176 , pp. 200-217
    • Pardoux, E.1    Peng, S.2
  • 19
    • 0025262967 scopus 로고
    • Adapted solution of a backward stochastic differential equation
    • PARDOUX, É. and PENG, S. G. (1990). Adapted solution of a backward stochastic differential equation. Systems Control Lett. 14 55-61.
    • (1990) Systems Control Lett. , vol.14 , pp. 55-61
    • Pardoux, E.1    Peng, S.G.2
  • 20
    • 84908402153 scopus 로고    scopus 로고
    • Monotonic limit theorem for BSDEs and non-linear Doob-Meyer decomposition
    • PENG, S. (2000). Monotonic limit theorem for BSDEs and non-linear Doob-Meyer decomposition. Probab. Theory Related Fields 16 225-234.
    • (2000) Probab. Theory Related Fields , vol.16 , pp. 225-234
    • Peng, S.1
  • 21
    • 84883606894 scopus 로고    scopus 로고
    • G-expectation, G-Brownian motion and related stochastic calculus of Itô type
    • Springer, Berlin
    • PENG, S. (2007). G-expectation, G-Brownian motion and related stochastic calculus of Itô type. In Stochastic Analysis and Applications. Abel Symp. 2 541-567. Springer, Berlin.
    • (2007) Stochastic Analysis and Applications. Abel Symp. , vol.2 , pp. 541-567
    • Peng, S.1
  • 22
    • 0031677847 scopus 로고    scopus 로고
    • Optimal stopping of controlled jump diffusion processes: A viscosity solution approach
    • electronic
    • PHAM, H. (1998). Optimal stopping of controlled jump diffusion processes: A viscosity solution approach. J. Math. Systems Estim. Control 8 27 pp. (electronic).
    • (1998) J. Math. Systems Estim. Control , vol.8 , pp. 27
    • Pham, H.1
  • 25
    • 33747892052 scopus 로고    scopus 로고
    • Backward stochastic differential equations with jumps and related nonlinear expectations
    • ROYER, M. (2006). Backward stochastic differential equations with jumps and related nonlinear expectations. Stochastic Process. Appl. 116 1358-1376.
    • (2006) Stochastic Process. Appl. , vol.116 , pp. 1358-1376
    • Royer, M.1
  • 27
    • 0028500888 scopus 로고
    • Necessary conditions for optimal control of stochastic systems with random jumps
    • TANG, S. J. and LI, X. J. (1994). Necessary conditions for optimal control of stochastic systems with random jumps. SIAM J. Control Optim. 32 1447-1475.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 1447-1475
    • Tang, S.J.1    Li, X.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.