Boundary gradient exact enlarged controllability of semilinear parabolic problems
| Autor: | Ali Boutoulout, Touria Karite |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) lcsh:T Mathematical analysis Boundary (topology) Lagrangian multiplier semilinear systems Distributed systems lcsh:Technology Controllability Minimum energy Boundary regional controllability sub-differential Parabolic systems Management of Technology and Innovation lcsh:Q Gradient lcsh:Science Engineering (miscellaneous) |
| Zdroj: | Advances in Science, Technology and Engineering Systems, Vol 2, Iss 5, Pp 167-172 (2017) |
| ISSN: | 2415-6698 |
| Popis: | The aim of this paper is to study the boundary enlarged gradient controllability problem governed by parabolic evolution equations. The purpose is to find and compute the control uu which steers the gradient state from an initial gradient one \nabla y_{_{0}}∇y 0 to a gradient vector supposed to be unknown between two defined bounds b_1b 1 and b_2b 2 , only on a subregion \GammaΓ of the boundary \partial\Omega∂Ω of the system evolution domain \OmegaΩ. The obtained results have been proved via two approaches, The sub-differential and Lagrangian multiplier approach. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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