A Note on the Cahn-Hilliard Equation in H1 (R N ) Involving Critical Exponent
| dc.contributor.author | Cholewa, Jan W. | |
| dc.contributor.author | Rodríguez Bernal, Aníbal | |
| dc.date.accessioned | 2023-06-19T14:56:24Z | |
| dc.date.available | 2023-06-19T14:56:24Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | We consider the Cahn-Hilliard equation in H1(RN ) with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as |u| → ∞ and logistic type nonlinearities. In both situations we prove the H2(RN )-bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J.W. Cholewa, A. Rodriguez-Bernal (2012) | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Economia y Competitividad, Spain | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/33265 | |
| dc.identifier.issn | 0862-7959 | |
| dc.identifier.officialurl | http://dml.cz/bitstream/handle/10338.dmlcz/143854/MathBohem_139-2014-2_13.pdf | |
| dc.identifier.relatedurl | http://mb.math.cas.cz/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/34877 | |
| dc.issue.number | 2 | |
| dc.journal.title | Mathematica Bohemica | |
| dc.language.iso | eng | |
| dc.page.final | 283 | |
| dc.page.initial | 269 | |
| dc.publisher | Institute of Mathematics, Academy of Sciences of the Czech Republic | |
| dc.relation.projectID | MTM2012-31298 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.9 | |
| dc.subject.keyword | Initial value problem for higher order parabolic equations | |
| dc.subject.keyword | asymptotic behavior of solutions | |
| dc.subject.keyword | critical exponent | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | A Note on the Cahn-Hilliard Equation in H1 (R N ) Involving Critical Exponent | |
| dc.type | journal article | |
| dc.volume.number | 139 | |
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