A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions
A boundary control problem for the pure Cahn–Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first-order necessary conditions for optimality are proved.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-11-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2015-0035 |
| _version_ | 1818739644356886528 |
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| author | Colli Pierluigi Gilardi Gianni Sprekels Jürgen |
| author_facet | Colli Pierluigi Gilardi Gianni Sprekels Jürgen |
| author_sort | Colli Pierluigi |
| collection | DOAJ |
| description | A boundary control problem for the pure Cahn–Hilliard equations
with possibly singular potentials and dynamic boundary conditions
is studied and first-order necessary conditions for optimality are proved. |
| first_indexed | 2024-12-18T01:28:07Z |
| format | Article |
| id | doaj.art-478cd68bc4df457dbfcbcadcf6e56210 |
| institution | Directory Open Access Journal |
| issn | 2191-9496 2191-950X |
| language | English |
| last_indexed | 2024-12-18T01:28:07Z |
| publishDate | 2015-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-478cd68bc4df457dbfcbcadcf6e562102022-12-21T21:25:40ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2015-11-014431132510.1515/anona-2015-0035A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditionsColli Pierluigi0Gilardi Gianni1Sprekels Jürgen2Dipartimento di Matematica “F. Casorati”, Università di Pavia, and Research Associate at the IMATI – C.N.R. PAVIA, via Ferrata 1, 27100 Pavia, ItalyDipartimento di Matematica “F. Casorati”, Università di Pavia, and Research Associate at the IMATI – C.N.R. PAVIA, via Ferrata 1, 27100 Pavia, ItalyWeierstrass Institute for Applied Analysis and Stochastics, Mohrenstraße 39, 10117 Berlin, Germany; and Department of Mathematics, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099 Berlin, GermanyA boundary control problem for the pure Cahn–Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first-order necessary conditions for optimality are proved.https://doi.org/10.1515/anona-2015-0035cahn–hilliard equationdynamic boundary conditionsphase separationsingular potentialsoptimal controloptimality conditions35k5549j2049j5049k2082c26 |
| spellingShingle | Colli Pierluigi Gilardi Gianni Sprekels Jürgen A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions Advances in Nonlinear Analysis cahn–hilliard equation dynamic boundary conditions phase separation singular potentials optimal control optimality conditions 35k55 49j20 49j50 49k20 82c26 |
| title | A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions |
| title_full | A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions |
| title_fullStr | A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions |
| title_full_unstemmed | A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions |
| title_short | A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions |
| title_sort | boundary control problem for the pure cahn hilliard equation with dynamic boundary conditions |
| topic | cahn–hilliard equation dynamic boundary conditions phase separation singular potentials optimal control optimality conditions 35k55 49j20 49j50 49k20 82c26 |
| url | https://doi.org/10.1515/anona-2015-0035 |
| work_keys_str_mv | AT collipierluigi aboundarycontrolproblemforthepurecahnhilliardequationwithdynamicboundaryconditions AT gilardigianni aboundarycontrolproblemforthepurecahnhilliardequationwithdynamicboundaryconditions AT sprekelsjurgen aboundarycontrolproblemforthepurecahnhilliardequationwithdynamicboundaryconditions AT collipierluigi boundarycontrolproblemforthepurecahnhilliardequationwithdynamicboundaryconditions AT gilardigianni boundarycontrolproblemforthepurecahnhilliardequationwithdynamicboundaryconditions AT sprekelsjurgen boundarycontrolproblemforthepurecahnhilliardequationwithdynamicboundaryconditions |