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dc.contributor.authorZhang, J.
dc.contributor.authorZhu, P.
dc.date.accessioned2017-02-21T08:18:20Z
dc.date.available2017-02-21T08:18:20Z
dc.date.issued2013-12-31
dc.identifier.issn0170-4214
dc.identifier.urihttp://hdl.handle.net/20.500.11824/576
dc.description.abstractTaking into account the occurrence of a zero of the surface diffusion current and the requirement of the Ehrlich-Schwoebel effect, Siegert et al. formulated a model of Langevin type that describes the growth of pyramid-like structures on a surface under conditions of molecular beam epitaxy and that the slope of these pyramids is selected by the crystalline symmetries of the growing film. In this article, the existence and uniqueness of weak solution to an initial boundary value problem for this model is proved, in the case that the noise is neglected. The regularity of the weak solution to models, with/without slope selection, is also investigated. Copyright © 2012 John Wiley & Sons, Ltd.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectexistence
dc.subjectmodel for coarsening in molecular beam epitaxy
dc.subjectregularity
dc.subjectweak solutions
dc.titleExistence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1002/mma.2648
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84876752964&doi=10.1002%2fmma.2648&partnerID=40&md5=c97e6f5c7b9c274f097c7a545b5ebcb7
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleMathematical Methods in the Applied Sciencesen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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