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.
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页码：146 / 157
页数：12
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