GLOBAL EXISTENCE FOR VECTOR VALUED FRACTIONAL REACTION-DIFFUSION EQUATIONS

被引：1
|
作者：
Besteiro, Agustin [1 ]
Rial, Diego [1 ,2 ]
机构：
[1] CONICET UBA, Inst Matemat Luis Santalo, Ciudad Univ,Pabellon 1, RA-1428 Buenos Aires, DF, Argentina
[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Ciudad Univ,Pabellon 1,C1428EGA, RA-1428 Buenos Aires, DF, Argentina
来源：
PUBLICACIONS MATEMATIQUES | 2021年 / 65卷 / 02期
关键词：
fractional diffusion; global existence; Lie-Trotter method; CELLULAR-AUTOMATA; INVARIANT REGIONS; SPLITTING METHODS; SYSTEMS;
D O I：
10.5565/PUBLMAT6522108
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：653 / 680
页数：28
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