Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/65693
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dc.contributorDepartment of Applied Mathematics-
dc.creatorLi, D-
dc.creatorQiao, Z-
dc.creatorTang, T-
dc.date.accessioned2017-05-22T02:09:04Z-
dc.date.available2017-05-22T02:09:04Z-
dc.identifier.issn0022-0396-
dc.identifier.urihttp://hdl.handle.net/10397/65693-
dc.language.isoenen_US
dc.publisherAcademic Pressen_US
dc.rights© 2016 Elsevier Inc. All rights reserved.en_US
dc.rights© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/.en_US
dc.subjectEpitaxyen_US
dc.subjectGradient bounden_US
dc.subjectMaximum principleen_US
dc.subjectThin filmen_US
dc.titleGradient bounds for a thin film epitaxy equationen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1720-
dc.identifier.epage1746-
dc.identifier.volume262-
dc.identifier.issue3-
dc.identifier.doi10.1016/j.jde.2016.10.025-
dcterms.abstractWe consider a gradient flow modeling the epitaxial growth of thin films with slope selection. The surface height profile satisfies a nonlinear diffusion equation with biharmonic dissipation. We establish optimal local and global wellposedness for initial data with critical regularity. To understand the mechanism of slope selection and the dependence on the dissipation coefficient, we exhibit several lower and upper bounds for the gradient of the solution in physical dimensions d≤3.-
dcterms.accessRightsopen access-
dcterms.bibliographicCitationJournal of differential equations, 5 Feb. 2017, v. 262, no. 3, p. 1720-1746-
dcterms.isPartOfJournal of differential equations-
dcterms.issued2017-02-05-
dc.identifier.isiWOS:000392463100021-
dc.identifier.scopus2-s2.0-85006042848-
dc.identifier.ros2016000261-
dc.identifier.rosgroupid2016000260-
dc.description.ros2016-2017 > Academic research: refereed > Publication in refereed journal-
dc.description.validate201804_a bcma-
dc.description.oaAccepted Manuscript-
dc.identifier.FolderNumbera0735-n06-
dc.identifier.SubFormID1208-
dc.description.fundingSourceRGC-
dc.description.fundingText15302214-
dc.description.pubStatusPublished-
dc.description.oaCategoryGreen (AAM)en_US
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