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).

引用

页码：11 / 22

页数：12

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