Global existence of solutions in invariant regions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients
In this paper we generalize a result obtained in [15] concerning uniform boundedness and so global existence of solutions for reaction-diffusion systems with a general full matrix of diffusion coefficients satisfying a balance law. Our techniques are based on invariant regions and Lyapunov functiona...
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| Format: | Article |
| Language: | English |
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University of Szeged
2003-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=145 |
| _version_ | 1797830816397524992 |
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| author | Said Kouachi |
| author_facet | Said Kouachi |
| author_sort | Said Kouachi |
| collection | DOAJ |
| description | In this paper we generalize a result obtained in [15] concerning uniform boundedness and so global existence of solutions for reaction-diffusion systems with a general full matrix of diffusion coefficients satisfying a balance law. Our techniques are based on invariant regions and Lyapunov functional methods. The nonlinearity of the reaction term which we take positive in an invariant region has been supposed to be polynomial or of weak exponential growth. |
| first_indexed | 2024-04-09T13:42:08Z |
| format | Article |
| id | doaj.art-f0742de14f824e2d988ec9de5c3b116c |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:42:08Z |
| publishDate | 2003-01-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-f0742de14f824e2d988ec9de5c3b116c2023-05-09T07:52:57ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752003-01-012003411010.14232/ejqtde.2003.1.4145Global existence of solutions in invariant regions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficientsSaid Kouachi0Central University of Tebessa, AlgeriaIn this paper we generalize a result obtained in [15] concerning uniform boundedness and so global existence of solutions for reaction-diffusion systems with a general full matrix of diffusion coefficients satisfying a balance law. Our techniques are based on invariant regions and Lyapunov functional methods. The nonlinearity of the reaction term which we take positive in an invariant region has been supposed to be polynomial or of weak exponential growth.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=145 |
| spellingShingle | Said Kouachi Global existence of solutions in invariant regions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients Electronic Journal of Qualitative Theory of Differential Equations |
| title | Global existence of solutions in invariant regions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients |
| title_full | Global existence of solutions in invariant regions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients |
| title_fullStr | Global existence of solutions in invariant regions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients |
| title_full_unstemmed | Global existence of solutions in invariant regions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients |
| title_short | Global existence of solutions in invariant regions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients |
| title_sort | global existence of solutions in invariant regions for reaction diffusion systems with a balance law and a full matrix of diffusion coefficients |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=145 |
| work_keys_str_mv | AT saidkouachi globalexistenceofsolutionsininvariantregionsforreactiondiffusionsystemswithabalancelawandafullmatrixofdiffusioncoefficients |