Comparison results for nonlinear parabolic equations with monotone principal part

被引:20
作者
Carvalho, AN
Gentile, CB
机构
[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil
[2] Univ Fed Vicosa, Ctr Ciencias Exatas & Tecnol, Dept Matemat, BR-36571000 Vicosa, MG, Brazil
基金
巴西圣保罗研究基金会;
关键词
D O I
10.1006/jmaa.2001.7506
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work we prove an abstract comparison principle for abstract quasi-linear parabolic problems with monotone principal part. This result is applied to parabolic problems having the p-laplacian as principal part and with non-Lipschitz perturbations. (C) 2001 Academic Press.
引用
收藏
页码:319 / 337
页数:19
相关论文
共 12 条
[1]  
[Anonymous], 1988, APPL MATH SCI
[2]   Attractors of parabolic problems with nonlinear boundary conditions uniform bounds [J].
Arrieta, JM ;
Carvalho, AN ;
Rodríguez-Bernal, A .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2000, 25 (1-2) :1-37
[3]  
BARBU V, 1976, SEMINAR SEMIGROUPS D
[4]  
BREZIS H., 1973, North-Holland Math. Stud., V5
[5]  
CARVALHO AN, NOTAS ICMC SERIE MAT, V82
[6]  
DiBennedeto E., 1993, DEGENERATE PARABOLIC
[7]  
Ladyzhenskaya O., 1991, ATTRACTORS SEMIGROUP
[8]  
Ladyzhenskaya O., 1968, LINEAR QUASILINEAR E, DOI DOI 10.1090/MMONO/023
[9]  
Lions J. L., 1969, QUELQUES METHODES RE