Stochastic degenerate Sobolev equations: well posedness and exact controllability

Liaskos, Konstantinos B, Stratis, Ioannis G and Pantelous, Athanasios A ORCID: 0000-0001-5738-1471 (2018) Stochastic degenerate Sobolev equations: well posedness and exact controllability. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 41 (3). pp. 1025-1032.

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Abstract

<jats:p>In this paper, we revisit the recently proposed results for a general class of linear stochastic degenerate Sobolev systems with additive noise by using a different approach keeping, however, the main assumptions unchanged for the purpose of comparison. In particular, the mild and strong well‐posedness for the initial and final value problems are presented and studied by applying a suitable transformation that formulates the degenerate stochastic system as a pseudoparabolic one. Based on the derived results for the forward and backward cases, under this new framework, the conditions for the exact controllability are revisited for a particular class of degenerate Sobolev systems. Copyright © 2016 John Wiley &amp; Sons, Ltd.</jats:p>

Item Type:	Article
Uncontrolled Keywords:	singular systems in infinite dimensions, stochastic degenerate Sobolev equations, stochastic backward equations in Hilbert spaces, exact controllability
Depositing User:	Symplectic Admin
Date Deposited:	27 Jun 2016 07:43
Last Modified:	18 Sep 2023 18:55
DOI:	10.1002/mma.4077
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3001845