Titlebook: Mathematical Control Theory for Stochastic Partial Differential Equations; Qi Lü,Xu Zhang Book 2021 Springer Nature Switzerland AG 2021 st

pellagra

Exact Controllability for Stochastic Transport Equations,In this chapter, we are concerned with the exact boundary controllability for stochastic transport equations. By the duality argument, the controllabilityproblem is reduced to a suitable observability estimate for backward stochastic transport equations, and we employ a stochastic version of global Carlemanestimate to derive such an estimate.

nurture

Tracheotomy

Some Preliminaries in Stochastic Calculus,is book. Especially, we collect the most relevant preliminaries for studying control problems in stochastic distributed parameter systems. Also, we will provide some unified notations (which may differ from one paper/book to another) to be used in later chapters.

季雨

Backward Stochastic Evolution Equations, of control problems for stochastic distributed parameter systems. In the case of natural filtration, by means of the Martingale Representation Theorem, these equations are proved to be well-posed in the sense of mild solutions; while for the general filtration, using our stochastic transposition method, we also establish their well-posedness.

Harrowing

analogous

,Exact Controllability for Stochastic Schrödinger Equations,control and the other is an internal control acting everywhere in the diffusion term. Based on the duality argument, we solve this controllability problemby employing the global Carleman estimate to derive a suitable observability estimate for the dual equation.

教义

https://doi.org/10.1007/978-3-030-82331-3stochastic evolution equation; control theory; controllability; observability; optimal control; global Ca

争论

978-3-030-82333-7Springer Nature Switzerland AG 2021

MARS

Mathematical Control Theory for Stochastic Partial Differential Equations978-3-030-82331-3Series ISSN 2199-3130 Series E-ISSN 2199-3149

记成蚂蚁