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An Inverse Problem for a Class of Linear Stochastic Evolution Equations
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-27
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhao, Yuhuan. 2012. An Inverse Problem for a Class of Linear Stochastic Evolution Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-993846
Modern Language Association (MLA)
Zhao, Yuhuan. An Inverse Problem for a Class of Linear Stochastic Evolution Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-25.
https://search.emarefa.net/detail/BIM-993846
American Medical Association (AMA)
Zhao, Yuhuan. An Inverse Problem for a Class of Linear Stochastic Evolution Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-993846
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993846