Ecuaciones diferenciales estocásticas con condición final y soluciones de viscosidad de EDPS semilineales de segundo orden
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2014
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Resumo |
El objetivo de este documento es recopilar algunos resultados clasicos sobre existencia y unicidad ´ de soluciones de ecuaciones diferenciales estocasticas (EDEs) con condici ´ on final (en ingl ´ es´ Backward stochastic differential equations) con particular enfasis en el caso de coeficientes mon ´ otonos, y su cone- ´ xion con soluciones de viscosidad de sistemas de ecuaciones diferenciales parciales (EDPs) parab ´ olicas ´ y el´ıpticas semilineales de segundo orden. |
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application/pdf |
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Idioma(s) |
eng |
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Facultad de Economía |
Relação |
Serie documentos de trabajo. No 168 (Octubre 2014) https://ideas.repec.org/p/col/000092/012231.html |
Direitos |
info:eu-repo/semantics/openAccess |
Fonte |
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Backward stochastic differential equations and partial differential equations with quadratic growth. The Annals of Probability, vol 28, No. 2 (2000) 558-602. H. KUNITA. Stochastic Flows and Stochastic Differential Equations (1990) Cambridge University Press. J.P. LEPELTIER, J. SAN MART´IN. Backward stochastic differential equations with continuos coefficient. Statistics & Probability Letters 32 (1997) 425-430. J.P. LEPELTIER, J. SAN MART´IN. On the existence or non-existence of solutions for certain backward stochastic differential equations. Bernoulli, vol 8, No. 1 (2002) 123-137. P.L. LIONS. Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations, Part I: The dynamic programming principle and applications. Comm. P.D.E. 8 (1983) 1101- 1174. P.L. LIONS. Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations, Part II: Viscosity solutions and uniqueness. Comm. P.D.E. 8 (1983) 1229-1276. P.L. LIONS. Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations, Part III. Nonlinear PDE and Appl., Seminaire du Coll ´ ege de France, ` vol V (1985) Pitman. J. MA, J. YONG. Forward-Backward stochastic differential equations and their applications. Lecture Notes in Mathematics, 1702 (1999) Springer-Verlag, New York. D. NUALART. Noncausal Stochastic Integrals and Calculus, Stochastic Analysis and Related Topics. Lecture Notes in Mathematics, 1316 Springer Verlag, Berlin (1986) 80-129. B. ØKSENDAL. Stochastic Differential Equations: An Introduction with Applications. Universitext. Quinta edicion (1998) Springer-Verlag. R.E.A.C. PARLEY, N. WIENER, A. ZYGMUND. Note on random functions. Math. Z. 37 (1933) 647-668. E. PARDOUX. Backward stochastic differential equations and viscosity solutions of systems of semilinear parabolic and elliptic PDEs of second order. Stochastic analysis and related topics VI (The Geilo Workshop, 1996), Editado por: L. Decreusefond, J. Gjerde, B. 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Pitman Research Notes in Mathematics Series 364 (1997) Longman, Harlow. P. PROTTER. Stochastic Integration and Differential Equations. Applications of Mathematics 21 (1990) Springer-Verlag, Berlin. C. TUDOR. Procesos Estocasticos ´ . Aportaciones Matematicas (1997). Sociedad Matem ´ atica ´ Mexicana. D. WILLIAMS. Probability with Martingales (1991). Cambridge Mathema-tical Textbooks. |
Palavras-Chave | #Matemáticas #Ecuaciones diferenciales #Análisis matemático #515.35 #backward stochastic differential equation #viscosity solution #semilinear partial differential equation |
Tipo |
info:eu-repo/semantics/book info:eu-repo/semantics/acceptedVersion |