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Control Approach to an Ill-Posed Variational Inequality

Published online by Cambridge University Press:  20 June 2014

G. Marinoschi
G. Marinoschi*
Affiliation:
Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Calea 13 Septembrie 13, and Simion Stoilow Institute of Mathematics, research group of the project PN-II-ID-PCE-2011-3-0045, Bucharest, Romania
*
⋆ Corresponding author. E-mail: gmarino@acad.ro, gabimarinoschi@yahoo.com
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Abstract

We are concerned with the proof of a generalized solution to an ill-posed variational inequality. This is determined as a solution to an appropriate minimization problem involving a nonconvex functional, treated by an optimal control technique.

Keywords

nonlinear parabolic equationsill-posed problemsoptimal controlfree boundary problemsvariational inequalitiesabsorption-desorption processes
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 4: Optimal control , 2014 , pp. 153 - 170
Copyright
© EDP Sciences, 2014

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References

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