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

被引：1

作者：

Caicedo, Alejandro ^{[1
]}

Cuevas, Claudio ^{[2
]}

Mateus, Eder ^{[1
]}

Viana, Arlucio ^{[3
]}

机构：

[1] Univ Fed Sergipe, Dept Matemat, Itabaiana, Brazil

[2] Univ Fed Pernambuco, Dept Matemat, Recife, PE, Brazil

[3] Univ Fed Sergipe, Dept Matemat, Sao Cristovao, Brazil

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 145卷

关键词：

Systems of partial differential equations; Fractional diffusion; Self-similarity; Marcinkiewicz spaces; NAVIER-STOKES EQUATIONS; ASYMPTOTIC-BEHAVIOR; ANOMALOUS TRANSPORT; BLOW-UP; EXISTENCE;

D O I：

10.1016/j.chaos.2021.110756

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence of solutions to the Cauchy problem for a strongly coupled semilinear reaction-diffusion system in Marcinkiewicz spaces L-(p1,L-infinity) x L-(p2,L-infinity). The exponents p(1) , p(2) are chosen in a way that allows us to prove the existence of self-similar for this system. We present a fractional version of Ya-mazaki's inequality, an essential tool that potentially applies to other fractional-in-time PDEs. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：5

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