Abstract
In this chapter, we prove a uniqueness result for transposition solutions to the operator-valued backward stochastic evolution Eq. (1.10) and a well-posedness result for transposition solutions to this equation for the special case that both the final datum and the nonhomogeneous term are valued in the Hilbert space of Hilbert-Schmidt operators.
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Lü, Q., Zhang, X. (2014). Well-Posedness Result for the Operator-Valued BSEEs with Special Data. In: General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-06632-5_4
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DOI: https://doi.org/10.1007/978-3-319-06632-5_4
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06631-8
Online ISBN: 978-3-319-06632-5
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