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Representation Theorems for Generators of BSDEs in L^p Spaces

Representation Theorems for Generators of BSDEs in L^p Spaces
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摘要 In this paper, we prove that the generator g of a class of backward stochastic differential equations (BSDEs) can be represented by the solutions of the corresponding BSDEs at point (t, y, z), when the terminal data is in Lp spaces, for 1 〈 p ≤ 2. In this paper, we prove that the generator g of a class of backward stochastic differential equations (BSDEs) can be represented by the solutions of the corresponding BSDEs at point (t, y, z), when the terminal data is in Lp spaces, for 1 〈 p ≤ 2.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第2期255-264,共10页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China (No. 10921101) WCU (World Class University)program through the National Research Foundation of Korea funded by the Ministry of Education,Science and Technology (No. R31-20007) the National Natural Science Foundation of China (No. 11171179) the Natural Science Foundation of Shandong Province (No. ZR2009AL015)
关键词 backward stochastic differential equation GENERATOR representation theorem backward stochastic differential equation, generator, representation theorem
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