Existence of Global Solutions to Reaction-Diffusion Systems with Nonhomogeneous Boundary Conditions via a Lyapunov Functional

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dc.contributor.authorKouachi, Said
dc.date.accessioned2020-08-18T21:38:07Z
dc.date.available2020-08-18T21:38:07Z
dc.date.issued2002-10-16
dc.description.abstractMost publications on reaction-diffusion systems of m components (m ≥ 2) impose m inequalities to the reaction terms, to prove existence of global solutions (see Martin and Pierre [10] and Hollis [4]). The purpose of this paper is to prove existence of a global solution using only one inequality in the case of 3 component systems. Our technique is based on the construction of polynomial functionals (according to solutions of the reaction-diffusion equations) which give, using the well known regularizing effect, the global existence. This result generalizes those obtained recently by Kouachi [6] and independently by Malham and Xin [9].
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKouachi, S. (2002). Existence of global solutions to reaction-diffusion systems with nonhomogeneous boundary conditions via a Lyapunov functional. <i>Electronic Journal of Differential Equations, 2002</i>(88), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12421
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectReaction diffusion systems
dc.subjectLyapunov functionals
dc.subjectGlobal existence
dc.titleExistence of Global Solutions to Reaction-Diffusion Systems with Nonhomogeneous Boundary Conditions via a Lyapunov Functional
dc.typeArticle

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