An inverse problem for an evolution equation

1991 ◽  
Vol 49 (5) ◽  
pp. 535-540 ◽  
Author(s):  
Yu. S. �idel'man
Keyword(s):  
Inverse Problem ◽  
Evolution Equation

scholarly journals An Inverse Problem for a Class of Linear Stochastic Evolution Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-25
Author(s):  
Yuhuan Zhao
Keyword(s):  
Inverse Problem ◽  
Evolution Equation ◽  
Evolution Equations ◽  
Optimal Parameter ◽  
Optimization Method ◽  
Necessary Condition ◽  
Stochastic Evolution Equation ◽  
Stochastic Evolution ◽  
Stochastic Evolution Equations ◽  
Fréchet Differentiable

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.

scholarly journals On an inverse problem for fractional evolution equation

2017 ◽  
Vol 6 (1) ◽  
pp. 111-134
Author(s):  
Nguyen Huy Tuan ◽  
◽  
Mokhtar Kirane ◽  
Long Dinh Le ◽  
Van Thinh Nguyen ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Evolution Equation ◽  
Fractional Evolution Equation

Formulas in an inverse problem for an evolution equation

1996 ◽  
Vol 37 (5) ◽  
pp. 847-859
Author(s):  
Yu. E. Anikonov ◽  
M. P. Vishnevskii
Keyword(s):  
Inverse Problem ◽  
Evolution Equation

scholarly journals An inverse problem for an abstract evolution equation

2001 ◽  
Vol 79 (3-4) ◽  
pp. 475-482 ◽  
Author(s):  
A.G. Ramm ◽  
S.V. Koshkin
Keyword(s):  
Inverse Problem ◽  
Evolution Equation ◽  
Abstract Evolution Equation
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