Abstract
This paper is concerned with semi-linear backward stochastic partial differential equations (BSPDEs for short) of super-parabolic type. An L p-theory is given for the Cauchy problem of BSPDEs, separately for the case of pā(1,2] and for the case of pā(2,ā). A comparison theorem is also addressed.
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Communicating Editor: Alain Bensoussan.
Supported by NSFC Grant #10325101, by Basic Research Program of China (973 Program) Grant # 2007CB814904, by the Science Foundation of the Ministry of Education of China Grant #200900071110001, and by WCU (World Class University) Program through the Korea Science and Engineering Foundation funded by the Ministry of Education, Science and Technology (R31-2009-000-20007).
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Du, K., Qiu, J. & Tang, S. L p Theory for Super-Parabolic Backward Stochastic Partial Differential Equations in the Whole Space. Appl Math Optim 65, 175ā219 (2012). https://doi.org/10.1007/s00245-011-9154-9
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DOI: https://doi.org/10.1007/s00245-011-9154-9