Global solutions for a strongly coupled fractional reaction-diffusion system in Marcinkiewicz spaces

Alejandro Caicedo, Claudio Cuevas, Éder Mateus and Arlúcio Viana

Chaos, Solitons & Fractals, 2021, vol. 145, issue C

Abstract: We prove the existence of solutions to the Cauchy problem for a strongly coupled semilinear reaction-diffusion system in Marcinkiewicz spaces L(p1,∞)×L(p2,∞). The exponents p1,p2 are chosen in a way that allows us to prove the existence of self-similar for this system. We present a fractional version of Yamazaki’s inequality, an essential tool that potentially applies to other fractional-in-time PDEs.

Keywords: Systems of partial differential equations; Fractional diffusion; Self-similarity; Marcinkiewicz spaces (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921001090

DOI: 10.1016/j.chaos.2021.110756

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