| dc.contributor.author | Granero Belinchón, Rafael | |
| dc.contributor.author | Magliocca, Martina | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2019-03-22T12:27:53Z | |
| dc.date.available | 2020-04-30T02:45:18Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 1553-5231 | |
| dc.identifier.issn | 1078-0947 | |
| dc.identifier.uri | http://hdl.handle.net/10902/15992 | |
| dc.description.abstract | ABSTRACT: In this paper we study the large time behavior of the solutions to the following nonlinear fourth-order equations
@tu=Δe-Δu;@tu=-u2Δ2(u3)
These two PDE were proposed as models of the evolution of crystal surfaces by J. Krug, H.T. Dobbs, and S. Majaniemi (Z. Phys. B, 97,281-291, 1995) and H. Al Hajj Shehadeh, R. V. Kohn, and J. Weare (Phys. D, 240, 1771-1784, 2011), respectively. In particular, we find explicitly computable conditions on the size of the initial data (measured in terms of the norm in a critical space) guaranteeing the global existence and exponential decay to equilibrium in the Wiener algebra and in Sobolev spaces | es_ES |
| dc.format.extent | 31 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | American Institute of Mathematical Sciences | es_ES |
| dc.rights | © American Institute of Mathematical Sciences. This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series A following peer review. The definitive publisher-authenticated version Discrete and continuous dynamical systems - Series A, Volume 39, Number 4, April 2019, pp. 2101-2131 is available online at: http://dx.doi.org/10.3934/dcds.2019088 | es_ES |
| dc.source | Discrete and continuous dynamical systems, Volume 39, Number 4, April 2019, pp. 2101-2131 | es_ES |
| dc.subject.other | Crystal surface model | es_ES |
| dc.subject.other | Nonlinear fourth-order parabolic equations | es_ES |
| dc.subject.other | Global existence | es_ES |
| dc.subject.other | Decay to equilibrium | es_ES |
| dc.title | Global existence and decay to equilibrium for some crystal surface models | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | http://dx.doi.org/10.3934/dcds.2019088 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.3934/dcds.2019088 | |
| dc.type.version | publishedVersion | es_ES |
