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dc.contributor.authorIoakim, Xenakisen
dc.contributor.authorSmyrlis, Yiorgos-Sokratisen
dc.creatorIoakim, Xenakisen
dc.creatorSmyrlis, Yiorgos-Sokratisen
dc.date.accessioned2019-12-02T10:35:28Z
dc.date.available2019-12-02T10:35:28Z
dc.date.issued2014
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/56910
dc.description.abstractWe study the analyticity properties of solutions for a class of non-linear evolutionary pseudo-differential equations possessing global attractors. In order to do this we utilise an analyticity criterion for spatially periodic functions, which involves the rate of growth of a suitable norm of the nth derivative of the solution, with respect to the spatial variable, as n tends to infinity. This criterion can be used to a wide class of dissipative-dispersive partial differential equations, provided they possess global attractors. Using this criterion and the spectral method developed in Akrivis et al. [1] we have improved previous results. Copyright © 2014 Cambridge University Press.en
dc.sourceEuropean Journal of Applied Mathematicsen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85027931804&doi=10.1017%2fS095679251400028X&partnerID=40&md5=1b08ff26bdc7f7890a241dc768eba995
dc.subjectPartial differential equationsen
dc.subjectDynamical systemsen
dc.subjectSpectral methodsen
dc.subjectGlobal attractoren
dc.subjectDispersive equationsen
dc.subjectAnalyticityen
dc.subjectProperties of solutionsen
dc.subjectSignal theoryen
dc.subjectAnalyticity of solutions of partial differential equationsen
dc.subjectDissipative-dispersive equationsen
dc.subjectGlobal attractorsen
dc.subjectKuramoto-Sivashinksy equationen
dc.subjectPeriodic functionen
dc.subjectSpatial variablesen
dc.titleAnalyticity for a class of non-linear evolutionary pseudo-differential equationsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1017/S095679251400028X
dc.description.volume25
dc.description.issue6
dc.description.startingpage783
dc.description.endingpage793
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :2</p>en
dc.source.abbreviationEur.J.Appl.Math.en
dc.contributor.orcidSmyrlis, Yiorgos-Sokratis [0000-0001-9126-2441]
dc.gnosis.orcid0000-0001-9126-2441


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