INVESTIGADORES
BESTEIRO agustin tomas
artículos
Título:
Global existence for vector valued fractional reaction-diffusion equations
Autor/es:
AGUSTIN BESTEIRO; DIEGO RIAL
Revista:
PUBLICACIONS MATEMATIQUES
Editorial:
UNIV AUTONOMA BARCELONA
Referencias:
Lugar: Barcelona; Año: 2021 vol. 65 p. 653 - 680
ISSN:
0214-1493
Resumen:
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.
