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    An Inverse Problem for a Class of Linear Stochastic Evolution Equations
    Wiley ; 2012
    In:  Journal of Applied Mathematics Vol. 2012, No. 1 ( 2012-01)
    Details
    In: Journal of Applied Mathematics, Wiley, Vol. 2012, No. 1 ( 2012-01)
    Abstract: An inverse problem for a linear stochastic evolution equation is researched. The stochastic evolution equation contains a parameter with values in a Hilbert space. The solution of the evolution equation depends continuously on the parameter and is Fréchet differentiable with respect to the parameter. An optimization method is provided to estimate the parameter. A sufficient condition to ensure the existence of an optimal parameter is presented, and a necessary condition that the optimal parameter, if it exists, should satisfy is also presented. Finally, two examples are given to show the applications of the above results.
    Type of Medium: Online Resource
    ISSN: 1110-757X , 1687-0042
    URL: Issue
    URL: Article
    DOI: 10.1155/jama.v2012.1
    DOI: 10.1155/2012/921038
    Language: English
    Publisher: Wiley
    Publication Date: 2012
    detail.hit.zdb_id: 2062866-3
    detail.hit.zdb_id: 2578385-3
    SSG: 17,1
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