令人悲伤
发表于 2025-3-23 12:46:23
Working methods: from theory into practice,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.
矛盾心理
发表于 2025-3-23 14:48:20
https://doi.org/10.1007/978-3-031-17084-3In this chapter, we study the well-posedness for the operator-valued backward stochastic evolution Eq. (1.10) with general final datum and nonhomogeneous term, in the sense of relaxed transposition solution.
drusen
发表于 2025-3-23 18:24:35
Integration into the community,In this chapter, we derive some regularity properties for the relaxed transposition solutions to the operator-valued backward stochastic evolution Eq. (1.10) with general final datum and nonhomogeneous term. These properties will play key roles in the proof of our general Pontryagin-type stochastic maximum principle, presented in Chap. 9.
bifurcate
发表于 2025-3-24 01:14:30
Community Pest Management in PracticeThe purpose of this chapter is to show a necessary condition for stochastic optimal controls when the control domain is a convex subset of some Hilbert space.
悲观
发表于 2025-3-24 06:07:21
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Thrombolysis
发表于 2025-3-24 08:13:52
Preliminaries,In this chapter, we present nine lemmas that will be used in the rest of this book. The first one is the classical Burkholder-Davis-Gundy inequality in infinite dimensions, while the rest are new technical results.
不能强迫我
发表于 2025-3-24 13:35:21
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Respond
发表于 2025-3-24 17:05:39
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Comedienne
发表于 2025-3-24 21:48:13
Well-Posedness of the Operator-Valued BSEEs in the General Case,In this chapter, we study the well-posedness for the operator-valued backward stochastic evolution Eq. (1.10) with general final datum and nonhomogeneous term, in the sense of relaxed transposition solution.
scrape
发表于 2025-3-25 01:40:46
Some Properties of the Relaxed Transposition Solutions to the Operator-Valued BSEEs,In this chapter, we derive some regularity properties for the relaxed transposition solutions to the operator-valued backward stochastic evolution Eq. (1.10) with general final datum and nonhomogeneous term. These properties will play key roles in the proof of our general Pontryagin-type stochastic maximum principle, presented in Chap. 9.