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  • Barrieu-ElKaroui-11 P. Barrieu and N. El~Karoui. Monotone stability of quadratic semimartingales with applications to general quadratic BSDEs and unbounded existence result. to appear in Annals of Probability.
  • Briand-Hu-06 P. Briand and Y. Hu. BSDE with quadratic growth and unbounded terminal value. Probab. Theory Related Fields, 136(4):604--618, 2006.
  • Briand-Hu-08 P. Briand and Y. Hu. Quadratic BSDEs with convex generators and unbounded terminal conditions. Probab. Theory Related Fields, 141(3-4):543--567, 2008.
  • Cheridito-Stadje-12 P. Cheridito and M. Stadje. Existence, minimality and approximation of solutions to bsdes with convex drivers. Stochastic Process. Appl., 122(4):1540 -- 1565, 2012.
  • Delbaen-Hu-Bao-09 F. Delbaen, Y. Hu, and X. Bao. Backward SDEs with superquadratic growth. Probab. Theory Related Fields, pages 1--48, 2010.
  • Delbaen-Hu-Richou-09 F. Delbaen, Y. Hu, and A. Richou. On the uniqueness of solutions to quadratic BSDEs with convex generators and unbounded terminal conditions. Ann. Inst. Henri Poincaré Probab. Stat., 47(2):559--574, 2011.
  • ElKaroui-Peng-Quenez-97 N. El~Karoui, S. Peng, and M. C. Quenez. Backward stochastic differential equations in finance. Math. Finance, 7(1):1--71, 1997.
  • Fuhrman-Tessitore-02 M. Fuhrman and G. Tessitore. The Bismut-Elworthy formula for backward SDEs and applications to nonlinear Kolmogorov equations and control in infinite dimensional spaces. Stoch. Stoch. Rep., 74(1-2):429--464, 2002.
  • Gilding-Guedda-Kersner-03 B. H. Gilding, M. Guedda, and R. Kersner. The Cauchy problem for u_t=Δ u+ert nabla uert ^q. J. Math. Anal. Appl., 284(2):733--755, 2003.
  • Gladkov-Guedda-Kersner-08 A. Gladkov, M. Guedda, and R. Kersner. A KPZ growth model with possibly unbounded data: correctness and blow-up. Nonlinear Anal., 68(7):2079--2091, 2008.
  • Hu-Imkeller-Muller-05 Y. Hu, P. Imkeller, and M. Müller. Utility maximization in incomplete markets. Ann. Appl. Probab., 15(3):1691--1712, 2005.
  • Kobylanski-00 M. Kobylanski. Backward stochastic differential equations and partial differential equations with quadratic growth. Ann. Probab., 28(2):558--602, 2000.
  • Mania-Schweizer-05 M. Mania and M. Schweizer. Dynamic exponential utility indifference valuation. Ann. Appl. Probab., 15(3):2113--2143, 2005.
  • Masiero, Federica. Hamilton Jacobi Bellman equations in infinite dimensions with quadratic and superquadratic Hamiltonian. Discrete Contin. Dyn. Syst. 32 (2012), no. 1, 223--263. MR2837060
  • Pardoux, É.; Peng, S. G. Adapted solution of a backward stochastic differential equation. Systems Control Lett. 14 (1990), no. 1, 55--61. MR1037747
  • Richou, Adrien. Numerical simulation of BSDEs with drivers of quadratic growth. Ann. Appl. Probab. 21 (2011), no. 5, 1933--1964. MR2884055
  • Richou, Adrien. Markovian quadratic and superquadratic BSDEs with an unbounded terminal condition. Stochastic Process. Appl. 122 (2012), no. 9, 3173--3208. MR2946439
  • A. Richou. Étude théorique et numérique des équation différentielles stochastiques rétrogrades. PhD thesis, Université de Rennes 1, November 2010.
  • Rouge, Richard; El Karoui, Nicole. Pricing via utility maximization and entropy. INFORMS Applied Probability Conference (Ulm, 1999). Math. Finance 10 (2000), no. 2, 259--276. MR1802922

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