On a nonlocal degenerate parabolic problem

被引：15

作者：

Almeida, Rui M. P. ^{[2
]}

Antontsev, Stanislav N. ^{[1
]}

Duque, Jose C. M. ^{[2
]}

机构：

[1] Univ Lisbon, CMAF CIO, P-1699 Lisbon, Portugal

[2] Univ Beira Interior, Dept Math, Fac Sci, Covilha, Portugal

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 27卷

基金：

俄罗斯科学基金会;

关键词：

Nonlocal; Degenerate; Parabolic; PDE; EQUATIONS; BEHAVIOR;

D O I：

10.1016/j.nonrwa.2015.07.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Conditions for the existence and uniqueness of weak solutions for a class of nonlinear nonlocal degenerate parabolic equations are established. The asymptotic behaviour of the solutions as time tends to infinity are also studied. In particular, the finite time extinction and polynomial decay properties are proved. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：146 / 157

页数：12

共 11 条

[1] Existence-uniqueness and long time behavior for a class of nonlocal nonlinear parabolic evolution equations
Ackleh, AS
Ke, L
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (12) : 3483 - 3492
[2] Almeida R.M.P., 2014, CONVERGENCE CRANCK N
[3] The Crank-Nicolson-Galerkin finite element method for a nonlocal parabolic equation with moving boundaries
Almeida, Rui M. P.
Duque, Jose C. M.
Ferreira, Jorge
Robalo, Rui J.
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 31 (05) : 1515 - 1533
[4] CONVERGENCE OF A FINITE VOLUME SCHEME FOR NONLOCAL REACTION-DIFFUSION SYSTEMS MODELLING AN EPIDEMIC DISEASE
Bendahmane, Mostafa
Sepulveda, Mauricio
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2009, 11 (04): : 823 - 853
[5] Some remarks on non local elliptic and parabolic problems
Chipot, M
Lovat, B
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (07) : 4619 - 4627
[6] Duque J., 2013, REACTION DIFFUSION M
[7] Duque J.C.M., 2013, EULER GALERKIN FINIT
[8] Ladyzhenskaya O. A., 1968, TRANSLATIONS MATH MO
[9] Robalo R.J., 2013, GLOBAL SOLVABILITY E
[10] A reaction-diffusion model for a class of nonlinear parabolic equations with moving boundaries: Existence, uniqueness, exponential decay and simulation
Robalo, Rui J.
Almeida, Rui M. P.
Coimbra, Maria do Carmo
Ferreira, Jorge
[J]. APPLIED MATHEMATICAL MODELLING, 2014, 38 (23) : 5609 - 5622

← 1 2 →