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.
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页数：5
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