On the approximate controllability for higher order parabolic nonlinear equations of Cahn-Hilliard type
| dc.book.title | Control and estimation of distributed parameter systems | |
| dc.contributor.author | Díaz Díaz, Jesús Ildefonso | |
| dc.contributor.author | Ramos Del Olmo, Ángel Manuel | |
| dc.contributor.editor | Desch, W. | |
| dc.contributor.editor | Kappel, F. | |
| dc.contributor.editor | Kunisch, K. | |
| dc.date.accessioned | 2023-06-20T21:03:20Z | |
| dc.date.available | 2023-06-20T21:03:20Z | |
| dc.date.issued | 1998 | |
| dc.description | International conference on control and estimation of distributed parameter systems (1996. Vorau, Austria) | |
| dc.description.abstract | Sire prove the approximate controllability property for some higher order parabolic nonlinear equations of Cahn-Hilliard type when the nonlinearity is of sublinear type at infinity. We also give a counterexample showing that this property may fail when the nonlinearity is of superlinear type. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15723 | |
| dc.identifier.doi | 10.1007/978-3-0348-8849-3_9 | |
| dc.identifier.isbn | 3-7643-5835-1 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/r388034203104610/ | |
| dc.identifier.relatedurl | http://www.springerlink.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/60556 | |
| dc.issue.number | 126 | |
| dc.language.iso | eng | |
| dc.page.final | 127 | |
| dc.page.initial | 111 | |
| dc.page.total | 310 | |
| dc.publication.place | Vorau, Austria, | |
| dc.publisher | Birhäuser | |
| dc.relation.ispartofseries | International series of Numerical mathematics | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.977.56 | |
| dc.subject.keyword | approximate controllability | |
| dc.subject.keyword | higher order nonlinear parabolic boundary value problems | |
| dc.subject.keyword | Cahn-Hilliard type equations | |
| dc.subject.ucm | Análisis numérico | |
| dc.subject.unesco | 1206 Análisis Numérico | |
| dc.title | On the approximate controllability for higher order parabolic nonlinear equations of Cahn-Hilliard type | |
| dc.type | book part | |
| dc.volume.number | 126 | |
| dcterms.references | Aubin, J.P.: Un théorème de compacité. C. R. Acad. Sci., Paris, Serie I, T. 256, pp. 5042-5044, (1963). Aubin, J.P.: L'analyse non linéaire et ses motivations économiques. Masson. (1984). Aubin, J.P. and Ekeland, I.: Applied nonlinear Analysis. Wiley-Interscience Publication, New York, (1984). Bernis, F.: Elliptic and Parabolic Semilinear Problems without Conditions at infnity. Arch. Rat. Mech. Anal., Vol. 106, N. 3, pp. 217-241, (1989). Brézis, H.:Analyse Fonctionnelle: Théorie et applications. Masson, Paris, (1987). Cahn, J.W. and Hilliard, J.E.: Free energy of a nonuniform system. I. Interfacial free energy. J.Chem. Phys. N. 28, pp. 258-267, (1958). Díaz, J.I. and Ramos, A.M.: Positive and negative approximate controllability results for semilinear parabolic equations. To appear in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales,Madrid, (1997). Elliot, C.M. and Songmu, Z.: On the Cahn-Hilliard Equation. Arch. Rat. Mech. Anal. N. 96, pp.339-357, (1986). Fabre, C., Puel, J.P. and Zuazua, E.: Contrôlabilité approchée de l'équation de la chaleur semi-linéaire. C. R. Acad. Sci. Paris, t. 315, Série I, pp. 807-812, (1992). Fabre, C., Puel, J.P. and Zuazua, E.: Approximate controllability of the semilinear heat equation,Proceedings of the Royal Society of Edinburgh, 125A, pp. 31-61, (1995). Haraux, A.: Nonlinear Evolution Equations. Lecture Notes in Mathematics. Springer-Verlag, Heidelberg, (1981). Lions, J.L.: Contrôle optimal de systemes gouvernés par des equations aux derivées partielles. Dunod,Paris, (1968). Lions, J.L.: Quelques méthodes de résolution des probléms aux limites non lin¶eares. Dunod, Paris,(1969). Lions, J.L.: Remarques sur la contrôlabilité approchée. In Proceedings of Jornadas Hispano-Francesas sobre Control de Sistemas Distribuidos, Universidad de Malaga, pp. 77-88, (1990). Lions, J.L. and Magenes, E.: Problèmes aux limites non homogènes et applications, Vol. 1, Dunod, Paris, (1968). Lions, J.L. and Magenes, E.: Problèmes aux limites non homogènes et applications, Vol. 2, Dunod, Paris, (1968). Saut, J.C. and Scheurer, B.: Unique continuation for some evolution equations. J. Differential Equations, Vol. 66, N. 1, pp. 118-139, (1987). Simon, J.: Compact Sets in the Space Lp(0; T;B). Annali di Matematica Pura ed Applicata. Serie 4,N. 146, pp.65-96, (1987). | |
| dspace.entity.type | Publication | |
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| relation.isAuthorOfPublication | 581c3cdf-f1ce-41e0-ac1e-c32b110407b1 | |
| relation.isAuthorOfPublication.latestForDiscovery | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 |
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