On an Optimal L1-Control Problem in Coefficients for Linear Elliptic Variational Inequality
Joint Authors
Kupenko, Olha P.
Manzo, Rosanna
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-24
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We consider optimal control problems for linear degenerate elliptic variational inequalities with homogeneous Dirichlet boundary conditions.
We take the matrix-valued coefficients A(x) in the main part of the elliptic operator as controls in L1(Ω;ℝN(N+1)/2).
Since the eigenvalues of such matrices may vanish and be unbounded in Ω, it leads to the “noncoercivity trouble.” Using the concept of convergence in variable spaces and following the direct method in the calculus of variations, we establish the solvability of the optimal control problem in the class of the so-called H-admissible solutions.
American Psychological Association (APA)
Kupenko, Olha P.& Manzo, Rosanna. 2013. On an Optimal L1-Control Problem in Coefficients for Linear Elliptic Variational Inequality. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-500898
Modern Language Association (MLA)
Kupenko, Olha P.& Manzo, Rosanna. On an Optimal L1-Control Problem in Coefficients for Linear Elliptic Variational Inequality. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-500898
American Medical Association (AMA)
Kupenko, Olha P.& Manzo, Rosanna. On an Optimal L1-Control Problem in Coefficients for Linear Elliptic Variational Inequality. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-500898
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500898