Regularity of solutions to a class of cross diffusion systems

被引：3

作者：

Le, D ^{[1
]}

机构：

[1] Univ Texas, Dept Appl Math, San Antonio, TX 78249 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2005年 / 36卷 / 06期

关键词：

cross diffusion systems; Holder regularity;

D O I：

10.1137/S0036141003428354

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Regularity of bounded solutions to a class of strongly coupled parabolic systems is investigated. Conditions on the structure of the systems are found to assure that bounded solutions are Holder continuous. The theory is then applied to the general Shigesada-Kawasaki-Teramoto model in population dynamics.

引用

页码：1929 / 1942

页数：14

共 50 条

[41] Regularity of Weak Solutions to a Class of Nonlinear Problem
Jianfeng Zhou
Zhong Tan
Acta Mathematica Scientia, 2021, 41 : 1333 - 1365
[42] On the regularity of solutions to a class of nonlinear dispersive equations
Linares, Felipe
Ponce, Gustavo
Smith, Derek L.
MATHEMATISCHE ANNALEN, 2017, 369 (1-2) : 797 - 837
[43] Regularity results for solutions to a class of obstacle problems
Grimaldi, Antonio Giuseppe
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 62
[44] Existence and regularity of solutions for a class of singular (p(x),q(x))-Laplacian systems
Alves, Claudianor O.
Moussaoui, Abdelkrim
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (02) : 188 - 210
[45] REGULARITY FOR A CLASS OF NONLINEAR ELLIPTIC SYSTEMS
UHLENBECK, K
ACTA MATHEMATICA, 1977, 138 (3-4) : 219 - 240
[46] ON THE REGULARITY ISSUES OF A CLASS OF DRIFT-DIFFUSION EQUATIONS WITH NONLOCAL DIFFUSION
Miao, Changxing
Xue, Liutang
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, 51 (04) : 2927 - 2970
[47] Uniform boundedness and convergence of solutions to cross-diffusion systems
Shim, SA
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 185 (01) : 281 - 305
[48] MARTINGALE SOLUTIONS OF STOCHASTIC NONLOCAL CROSS-DIFFUSION SYSTEMS
Bendahmane, Mostafa
Karlsen, Kenneth H.
NETWORKS AND HETEROGENEOUS MEDIA, 2022, 17 (05) : 719 - 752
[49] Remarks on the regularity of solutions of elliptic systems
Leonardi, S
APPLIED NONLINEAR ANALYSIS, 1999, : 325 - 344
[50] Self-Similar Solutions for a Class of Reaction-Diffusion Systems
郭佩芳
Journal of Southeast University(English Edition), 1997, (02) : 116 - 120

← 1 2 3 4 5 →