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Volumn 4, Issue 3, 2002, Pages 201-236

Dynamic programming for stochastic target problems and geometric flows

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EID: 33845799781     PISSN: 14359855     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100970100039     Document Type: Article
Times cited : (112)

References (30)
  • 1
    • 0006528348 scopus 로고    scopus 로고
    • Level set approach to mean curvature flow in arbitrary codimension
    • Ambrosio L., Soner H.M. (1996). Level set approach to mean curvature flow in arbitrary codimension. J. Differential Geom. 43, 693-737
    • (1996) J. Differential Geom. , vol.43 , pp. 693-737
    • Ambrosio, L.1    Soner, H.M.2
  • 2
    • 15444362058 scopus 로고    scopus 로고
    • The viability theorem for stochastic differential inclusions
    • Aubin J.P., Da Prato G. (1998). The viability theorem for stochastic differential inclusions. Stochastic Anal. Appl. 16, 1-15
    • (1998) Stochastic Anal. Appl. , vol.16 , pp. 1-15
    • Aubin, J.P.1    Da Prato, G.2
  • 4
    • 0027560984 scopus 로고
    • Front propagation and phase field theory
    • issue dedicated to W.H. Fleming
    • Barles G., Soner H.M., Souganidis P.E. (1993). Front propagation and phase field theory. SIAM J. Control Optim., issue dedicated to W.H. Fleming, 31, 439-469
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 439-469
    • Barles, G.1    Soner, H.M.2    Souganidis, P.E.3
  • 5
    • 0012160342 scopus 로고    scopus 로고
    • Stochastic target problem with jump-diffusion process
    • forthcoming
    • Bouchard B. (2000). Stochastic target problem with jump-diffusion process. Stochastic Processes Appl. (forthcoming)
    • (2000) Stochastic Processes Appl.
    • Bouchard, B.1
  • 6
  • 7
    • 0040249268 scopus 로고    scopus 로고
    • Optimal replication of contingent claims under portfolio constraints
    • Broadie M., Cvitanie J., Soner H.M. (1998). Optimal replication of contingent claims under portfolio constraints. The Rev. Financial Stud. 11, 59-79
    • (1998) The Rev. Financial Stud. , vol.11 , pp. 59-79
    • Broadie, M.1    Cvitanie, J.2    Soner, H.M.3
  • 8
    • 84972499852 scopus 로고
    • Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
    • Chen Y.-G., Giga Y., Goto S. (1991). Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. J. Differential Geom. 33, 749-786
    • (1991) J. Differential Geom. , vol.33 , pp. 749-786
    • Chen, Y.-G.1    Giga, Y.2    Goto, S.3
  • 9
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall M., Ishii H., Lions P.-L. (1992). User's guide to viscosity solutions of second order partial differential equations. Bulletin AMS 27, 1-67
    • (1992) Bulletin AMS , vol.27 , pp. 1-67
    • Crandall, M.1    Ishii, H.2    Lions, P.-L.3
  • 10
    • 0030510296 scopus 로고    scopus 로고
    • Hedging options for a large investor and forward-backward SDE's
    • Cvitanić J., Ma J. (1996). Hedging options for a large investor and forward-backward SDE's. Ann. Appl. Probab. 6, 370-398
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 370-398
    • Cvitanić, J.1    Ma, J.2
  • 11
    • 0033235821 scopus 로고    scopus 로고
    • Super-replication in stochastic volatility models under portfolio constraints
    • Cvitanić J., Pham H., Touzi N. (2000). Super-replication in stochastic volatility models under portfolio constraints. J. Appl. Probab. 36, 523-545
    • (2000) J. Appl. Probab. , vol.36 , pp. 523-545
    • Cvitanić, J.1    Pham, H.2    Touzi, N.3
  • 12
    • 0004179052 scopus 로고
    • Berlin Heidelberg New York: Springer
    • Doob J.L. (1994). Measure Theory. Berlin Heidelberg New York: Springer
    • (1994) Measure Theory
    • Doob, J.L.1
  • 13
    • 84972518016 scopus 로고
    • Motion of level sets by mean curvature
    • Evans L.C., Spruck J. (1991). Motion of level sets by mean curvature. J. Differential Geom. 33, 635-681
    • (1991) J. Differential Geom. , vol.33 , pp. 635-681
    • Evans, L.C.1    Spruck, J.2
  • 17
    • 0000420946 scopus 로고    scopus 로고
    • Hedging and liquidation under transaction costs in currency markets
    • Kabanov Yu. (1999). Hedging and liquidation under transaction costs in currency markets. Finance and Stochastics 3 (2), 237-248
    • (1999) Finance and Stochastics , vol.3 , Issue.2 , pp. 237-248
    • Kabanov, Yu.1
  • 19
    • 84963023423 scopus 로고
    • The heat equation shrinking convex plane curves
    • Gage M., Hamilton R. (1986). The heat equation shrinking convex plane curves. J. Differential Geom. 23, 69-95
    • (1986) J. Differential Geom. , vol.23 , pp. 69-95
    • Gage, M.1    Hamilton, R.2
  • 20
    • 84972528479 scopus 로고
    • The heat equation shrinks embedded plane curves to round points
    • Grayson M.A. (1987). The heat equation shrinks embedded plane curves to round points. J. Differential Geom. 26, 285-314
    • (1987) J. Differential Geom. , vol.26 , pp. 285-314
    • Grayson, M.A.1
  • 21
    • 84972507688 scopus 로고
    • Flow by mean curvature of convex surfaces into spheres
    • Huisken G. (1984). Flow by mean curvature of convex surfaces into spheres. J. Differential Geom., 20, 237-266
    • (1984) J. Differential Geom. , vol.20 , pp. 237-266
    • Huisken, G.1
  • 22
    • 0000268709 scopus 로고
    • Backward stochastic differential equations and quasilinear parabolic partial differential equations. Stochastic partial differential equations and their applications
    • (Charlotte, NC, 1991), Berlin: Springer
    • Pardoux E., Peng S (1992). Backward stochastic differential equations and quasilinear parabolic partial differential equations. Stochastic partial differential equations and their applications (Charlotte, NC, 1991), Lecture Notes in Control and Inform. Sci. 176, Berlin: Springer 200-217
    • (1992) Lecture Notes in Control and Inform. Sci. , vol.176 , pp. 200-217
    • Pardoux, E.1    Peng, S.2
  • 23
    • 0002686129 scopus 로고
    • Probabilistic interpretation for systems of quasilinear parabolic partial differential equations
    • Peng S. (1991). Probabilistic interpretation for systems of quasilinear parabolic partial differential equations. Stochastics Stochastics Rep. 37, 61-74
    • (1991) Stochastics Stochastics Rep. , vol.37 , pp. 61-74
    • Peng, S.1
  • 25
    • 0000935065 scopus 로고
    • Motion of a set by the curvature of its boundary
    • Soner H.M. (1993). Motion of a set by the curvature of its boundary. J. Differential Equations 101, 313-372
    • (1993) J. Differential Equations , vol.101 , pp. 313-372
    • Soner, H.M.1
  • 26
    • 0342854527 scopus 로고    scopus 로고
    • Super-replication under Gamma constraints
    • Soner H.M., Touzi N. (2000). Super-replication under Gamma constraints. SIAM J. Control Optim. 39, 73-96
    • (2000) SIAM J. Control Optim. , vol.39 , pp. 73-96
    • Soner, H.M.1    Touzi, N.2
  • 27
    • 0010630714 scopus 로고    scopus 로고
    • Stochastic target problems, dynamic programming, and viscosity solutions
    • forthcoming
    • Soner H.M., Touzi N. (2001). Stochastic target problems, dynamic programming, and viscosity solutions. SIAM J. Control Optim. (forthcoming)
    • (2001) SIAM J. Control Optim.
    • Soner, H.M.1    Touzi, N.2
  • 30
    • 33845736325 scopus 로고    scopus 로고
    • Direct characterization of the value of super-replication under stochastic volatility and portfolio constraints
    • forthcoming
    • Touzi N. (1998). Direct characterization of the value of super-replication under stochastic volatility and portfolio constraints. Stochastic Processes and their Applications (forthcoming)
    • (1998) Stochastic Processes and Their Applications
    • Touzi, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.