Global existence for vector valued fractional reaction-diffusion equations
Basteiro, Agustín (Universidad de Buenos Aires. Instituto de Matematica Luis Santaló)
Rial, Diego (Universidad de Buenos Aires. Instituto de Matematica Luis Santaló)

Date:	2021
Abstract:	In this paper we study the initial value problem for infinite dimensional fractional non-autonomous reaction-diffusion equations. Applying general time-splitting methods, we prove the existence of solutions globally defined in time using convex sets as invariant regions. We expose examples where biological and pattern formation systems, under suitable assumptions, achieve global existence. We also analyze the asymptotic behavior of solutions.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Fractional diffusion ; Global existence ; Lie-trotter method
Published in:	Publicacions matemàtiques, Vol. 65 Núm. 2 (2021) , p. 653-680 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/390244
DOI: 10.5565/PUBLMAT6522108

28 p, 447.6 KB

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