Existence result of global solutions for a class of generic reaction diffusion systems

被引：0

作者：

Kadem, Houssem Eddine ^{[1
]}

Mesbahi, Salim ^{[1
]}

Bendaas, Saida ^{[1
]}

机构：

[1] Ferhat Abbas Univ, Fac Sci, Dept Math, Fundamental & Numer Math Lab, Setif, Algeria

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷

关键词：

reaction diffusion system; global existence; Schauder fixed point theorem; FIXED-POINT THEOREMS; EDGE-DETECTION; IMAGE; EQUATIONS;

D O I：

10.22075/ijnaa.2021.5403

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the existence of weak global solutions for a class of generic reaction diffusion systems for which two main properties hold: the quasi-positivity and a triangular structure condition on the nonlinearities. The main result is a generalization of the work already done on models of a single reaction-diffusion equation. The model studied is applied in image recovery and contrast enhancement. It can also be applied to many models in biology and radiology.

引用

页码：663 / 676

页数：14

共 50 条

[1] Global Existence of Classical Solutions for a Class of Reaction-Diffusion Systems
Laamri, El-Haj
ACTA APPLICANDAE MATHEMATICAE, 2011, 115 (02) : 153 - 165
[2] Global Existence of Classical Solutions for a Class of Reaction-Diffusion Systems
El-Haj Laamri
Acta Applicandae Mathematicae, 2011, 115 : 153 - 165
[3] Generalized result with a unified proof of global existence to a class of reaction-diffusion systems
Badraoui, Salah
Louafi, Hichem
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (18) : 5365 - 5370
[4] Generalized Result on Global Existence of Weak Solutions for Parabolic Reaction-Diffusion Systems
Bennoui, Abdelhamid
Barrouk, Nabila
Redjouh, Mounir
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
[5] On the existence of positive solutions of a class of parabolic reaction diffusion systems
Redjouh, Mounir
Mesbahi, Salim
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2022, 67 (03): : 501 - 511
[6] Existence and Uniqueness of Solutions for a Class of Reaction-diffusion Systems
吕显瑞
杜忠复
高永久
NortheasternMathematicalJournal, 1999, (03) : 295 - 300
[7] On the existence of weak solutions for a class of singular reaction diffusion systems
Mesbahi, Salim
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (03): : 757 - 774
[8] Global existence and blowing-up of solutions to a class of coupled reaction -convection-diffusion systems
Guo, Wei
Gao, Wenjie
Guo, Bin
APPLIED MATHEMATICS LETTERS, 2014, 28 : 72 - 76
[9] Generalized result on the global existence of positive solutions for a parabolic reaction diffusion model with a full diffusion matrix
Barrouk, Nabila
Mesbahi, Salim
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2023, 68 (02): : 359 - 373
[10] AN EXISTENCE RESULT FOR PERIODIC SOLUTIONS OF A CLASS OF HAMILTONIAN SYSTEMS
蒋美跃
Science Bulletin, 1988, (20) : 1679 - 1681

← 1 2 3 4 5 →