An inverse problem for a system of evolution equations

作者：Anikonov, Yurii E.^*; Li, Shumin

来源：Journal of Inverse and Ill-Posed Problems, 2011, 19(1): 1-12.

DOI：10.1515/JIIP.2011.020

• Inverse problem
• evolution equations
• exact control problem
• nonlocal state

In this paper, we consider an inverse problem for a system of evolution equations. The inverse problem can also be interpreted as a exact control problem in the transition of a substance W(x, t) from a nonlocal state W(1)(x) to another nonlocal state W(2)(x). The control element is assumed to have a nonlocal form. We show the existence of the inverse problem in classes of entire functions with respect to the spatial variable x is an element of R(n) by the constructive method. Explicit formulas of the unknown functions W(x, t) and lambda(x) are presented.

• 出版日期2011-5
• 单位中国科学技术大学