Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m x m diffusion matrix

被引：0

作者：

Barrouk, Nabila ^{[1
]}

Abdelmalek, Karima ^{[1
]}

机构：

[1] Mohamed Cher Messaadia Univ, Fac Sci & Technol, Dept Math, BP 1553, Souk Ahras 41000, Algeria

来源：

DEMONSTRATIO MATHEMATICA | 2024年 / 57卷 / 01期

关键词：

global solution; semigroups; local solution; reaction-diffusion systems; SYSTEMS;

D O I：

10.1515/dema-2023-0122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order m m . Our techniques of proof are based on compact semigroup methods and some L 1 {L}<^>{1} -estimates. We show that global solutions exist. Our investigation can be applied for a wide class of nonlinear terms of reaction.

引用

页数：14

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