Existence of Global Solutions to Reaction-Diffusion Systems via a Lyapunov Functional

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dc.contributor.authorKouachi, Said
dc.date.accessioned2020-07-02T21:44:46Z
dc.date.available2020-07-02T21:44:46Z
dc.date.issued2001-10-23
dc.description.abstractThe purpose of this paper is to construct polynomial functionals (according to solutions of the coupled reaction-diffusion equations) which give Lp-bounds for solutions. When the reaction terms are sufficiently regular, using the well known regularizing effect, we deduce the existence of global solutions. These functionals are obtained independently of work done by Malham and Xin [11].
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKouachi, S. (2001). Existence of global solutions to reaction-diffusion systems via a Lyapunov functional. <i>Electronic Journal of Differential Equations, 2001</i>(68), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/11945
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectReaction-diffusion systems
dc.subjectGlobal existence
dc.subjectLyapunov functional
dc.titleExistence of Global Solutions to Reaction-Diffusion Systems via a Lyapunov Functionalen_US
dc.typeArticle

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