Abstract
We show how the recent «matrix theory» for unbounded operator matrices can be used in order to discuss linear reaction-diffusion systems. In particular we obtain information on the existence of a dominant eigenvalue and on the asymptotic behavior of the solutions.
Sunto
In questo lavoro si mostra come la teoria delle matrici con operatori non limitati è utile per lo studio dei sistemi lineari di reazione-diffusione. Si ottengono risultati sull'esistenza di un autovalore dominante e sul comportamento asintotico delle soluzioni.
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(Conferenza tenuta il 23 novembre 1989)
This paper has been written during a visit at Tulane University, New Orleans. The author gratefully acknowledges the kind hospitality of J. A. Goldstein and partial support from a National Science Foundation grant.
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Nagel, R. Operator matrices and reaction-diffusion systems. Seminario Mat. e. Fis. di Milano 59, 185–196 (1989). https://doi.org/10.1007/BF02925301
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DOI: https://doi.org/10.1007/BF02925301