| Issue |
Math. Model. Nat. Phenom.
Volume 9, Number 4, 2014
Optimal control
|
|
|---|---|---|
| Page(s) | 153 - 170 | |
| DOI | https://doi.org/10.1051/mmnp/20149410 | |
| Published online | 20 June 2014 | |
Control Approach to an Ill-Posed Variational Inequality
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
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.
Mathematics Subject Classification: 35K55 / 47J06 / 49J20 / 76SXX1
Key words: nonlinear parabolic equations / ill-posed problems / optimal control / free boundary problems / variational inequalities / absorption-desorption processes
© EDP Sciences, 2014
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