Global unique existence of a positive solution for a system of equations in electrochemistry

被引：1

作者：

Chae, D ^{[1
]}

Imanuvilov, OY

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

[2] Korea Inst Adv Study, Seoul, South Korea

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1998年 / 128卷

关键词：

D O I：

10.1017/S0308210500021624

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove global-in-time existence and uniqueness of a positive solution for the system of nonlinear partial differential equations arising from an electrochemistry model. The powers of nonlinearity are allowed to be arbitrary positive integers, and our domain is any bounded subdomain of R-2 with a smooth boundary.

引用

页码：507 / 524

页数：18

共 50 条

[21] EXISTENCE AND UNIQUE OF SOLUTION TO EXTERNAL DIRICHLET PROBLEM FOR ELLIPTIC EQUATIONS
MATARASS.S
[J]. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1972, 52 (02): : 132 - &
[22] Existence of the Unique Nontrivial Solution for Mixed Fractional Differential Equations
Liu, Yujing
Yan, Chenguang
Jiang, Weihua
[J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
[23] Global Existence of Positive Solutions for Volterra Integral Equations
王术
万春林
张锟
[J]. Chinese Quarterly Journal of Mathematics, 1995, (03) : 97 - 101
[24] Existence of global positive solutions of semilinear elliptic equations
Ehrnstroem, Mats
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1606 - 1610
[25] Existence of a unique positive entropy solution to a singular fractional Laplacian
Bayrami-Aminlouee, Masoud
Hesaaraki, Mahmoud
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (05) : 783 - 800
[26] Existence of a positive solution to a class of fractional differential equations
Goodrich, Christopher S.
[J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (09) : 1050 - 1055
[27] Existence of a global solution for a viscoelastic system
Lu, YG
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 218 (01) : 175 - 182
[28] Unique global solution to the thermally radiative magnetohydrodynamics equations
Peng Jiang
[J]. Zeitschrift für angewandte Mathematik und Physik, 2018, 69
[29] Unique global solution to the thermally radiative magnetohydrodynamics equations
Jiang, Peng
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (04):
[30] Existence of a global weak solution to Compressible Primitive Equations
Ersoy, Mehmet
Ngom, Timack
[J]. COMPTES RENDUS MATHEMATIQUE, 2012, 350 (7-8) : 379 - 382

← 1 2 3 4 5 →