Analyticity for a class of non-linear evolutionary pseudo-differential equations
dc.contributor.author | Ioakim, Xenakis | en |
dc.contributor.author | Smyrlis, Yiorgos-Sokratis | en |
dc.creator | Ioakim, Xenakis | en |
dc.creator | Smyrlis, Yiorgos-Sokratis | en |
dc.date.accessioned | 2019-12-02T10:35:28Z | |
dc.date.available | 2019-12-02T10:35:28Z | |
dc.date.issued | 2014 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56910 | |
dc.description.abstract | We 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.source | European Journal of Applied Mathematics | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85027931804&doi=10.1017%2fS095679251400028X&partnerID=40&md5=1b08ff26bdc7f7890a241dc768eba995 | |
dc.subject | Partial differential equations | en |
dc.subject | Dynamical systems | en |
dc.subject | Spectral methods | en |
dc.subject | Global attractor | en |
dc.subject | Dispersive equations | en |
dc.subject | Analyticity | en |
dc.subject | Properties of solutions | en |
dc.subject | Signal theory | en |
dc.subject | Analyticity of solutions of partial differential equations | en |
dc.subject | Dissipative-dispersive equations | en |
dc.subject | Global attractors | en |
dc.subject | Kuramoto-Sivashinksy equation | en |
dc.subject | Periodic function | en |
dc.subject | Spatial variables | en |
dc.title | Analyticity for a class of non-linear evolutionary pseudo-differential equations | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1017/S095679251400028X | |
dc.description.volume | 25 | |
dc.description.issue | 6 | |
dc.description.startingpage | 783 | |
dc.description.endingpage | 793 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :2</p> | en |
dc.source.abbreviation | Eur.J.Appl.Math. | en |
dc.contributor.orcid | Smyrlis, Yiorgos-Sokratis [0000-0001-9126-2441] | |
dc.gnosis.orcid | 0000-0001-9126-2441 |
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