COMPARISON RESULTS FOR SMOOTH SOLUTIONS OF QUASILINEAR PARABOLIC EQUATIONS

被引：0
|
作者：
Diehl, Nicolau M. L. [1 ]
Fabris, Lucineia [2 ]
Zingano, Paulo R. [3 ]
机构：
[1] Inst Fed Educ Ciencia & Tecnol Rio Grande do Sul, BR-95043700 Caxias Do Sul, RS, Brazil
[2] Univ Vale Rio dos Sinos, Ctr Cincias Exatas & Tecnol, BR-93022000 Sao Leopoldo, RS, Brazil
[3] Univ Fed Rio Grande do Sul, Dept Matemat Pura & Aplicada, BR-91509900 Porto Alegre, RS, Brazil
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2014年 / 14卷 / 01期
关键词：
comparison results; quasilinear parabolic equations; Cauchy problem; bounded solutions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a general derivation of fundamental comparison results for smooth solutions of hyperbolic/parabolic initial value problems such as u(t) + div f (x, t, u) = div(A(x, t, u) del u) + g(x, t, u), u(., 0) = u(0) is an element of L-loc(1) (R-n), with A(x, t, u) positive semidefinite, under broad conditions on A, f, g, u(0).
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页码：11 / 22
页数：12
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