Rate of convergence for one-dimensional quasilinear parabolic problem and its applications

被引：3

作者：

Kim, Seonghak ^{[1
]}

机构：

[1] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 264卷 / 01期

关键词：

Quasilinear parabolic equations; Exponential rate of convergence; Maximum principle; Comparison principle; Aggregation in population dynamics; Perona-Malik model; ANISOTROPIC DIFFUSION; AGGREGATION; EQUATIONS; SPACE;

D O I：

10.1016/j.jde.2017.08.069

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on a comparison principle, we derive an exponential rate of convergence for solutions to the initial boundary value problem for a class of quasilinear parabolic equations in one space dimension. We then apply the result to some models in population dynamics and image processing. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：82 / 97

页数：16

共 50 条

[31] CONVERGENCE OF PRIME INTEGRALS ASSOCIATED WITH THE ONE-DIMENSIONAL BOUNCE PROBLEM
CARRIERO, M
LEACI, A
PASCALI, E
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1983, 133 : 227 - 256
[32] Rate of convergence of calculations with one-dimensional Dirichlet wave functions
Nunez, MA
[J]. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1997, 62 (05) : 449 - 460
[33] On the rate of convergence to the neutral attractor of a family of one-dimensional maps
Nowicki, T.
Sviridenko, M.
Swirszcz, G.
Winograd, S.
[J]. FUNDAMENTA MATHEMATICAE, 2009, 206 : 253 - 269
[34] ONE MIXED PROBLEM FOR A QUASILINEAR PARABOLIC-SYSTEM
AKRAMOV, TA
[J]. DOKLADY AKADEMII NAUK SSSR, 1979, 244 (03): : 554 - 558
[35] On the Cauchy Problem for a One-Dimensional Loaded Parabolic Equation of a Special Form
Frolenkov I.V.
Yarovaya M.A.
[J]. Journal of Mathematical Sciences, 2021, 254 (6) : 761 - 775
[36] Legendre Multiscaling Functions for Solving the One-Dimensional Parabolic Inverse Problem
Yousefi, S. A.
Dehghan, Mehdi
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (06) : 1502 - 1510
[37] Moving Least Squares Method for a One-Dimensional Parabolic Inverse Problem
Wang, Baiyu
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[38] Finite volume method for solving a one-dimensional parabolic inverse problem
Wang, Bo
Zou, Guang-an
Zhao, Peng
Wang, Qiang
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5227 - 5235
[39] A linearized compact difference scheme for an one-dimensional parabolic inverse problem
Ye, Chao-rong
Sun, Zhi-zhong
[J]. APPLIED MATHEMATICAL MODELLING, 2009, 33 (03) : 1521 - 1528
[40] A numerical solution technique for a one-dimensional inverse nonlinear parabolic problem
Shidfar, A.
Fakhraie, M.
Pourgholi, R.
Ebrahimi, M.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 184 (02) : 308 - 315

← 1 2 3 4 5 →