EXISTENCE OF SOLUTIONS FOR QUASILINEAR PARABOLIC EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

被引：0

作者：

Chen, Baili ^{[1
]}

机构：

[1] Gustavus Adolphus Coll, Dept Math & Comp Sci, St Peter, MN 56082 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年

关键词：

Faedo-Galerkin method; nonlocal boundary conditions; a priori estimates; quasilinear parabolic equations; generalized solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a generalized solution a quasilinear parabolic equation with nonlocal boundary conditions, using the Faedo-Galerkin approximation.

引用

页数：9

共 8 条

[1]

[Anonymous], 2003, SOBOLEV SPACES

[2]

[Anonymous], 1969, QUELQUES METHODES RE

[3] Galerkin method applied to a parabolic evolution problem with nonlocal boundary conditions [J].

Bouziani, Abdelfatah ;

Merazga, Nabil ;

Benamira, Sihem .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (5-6) :1515-1524

[4]

Coddington E. A., 1955, THEORY ORDINARY DIFF

[5]

Dzhuraev T. D., 1999, GEORGIAN MATH J, V6, P421

[6]

Gerbi S., 2008, Adv. Differential Equations, V13, P1051

[7]

Ladyzenskaja O. A., 1967, LINEAR QUASILINEAR E

[8] SUR LA RESOLUTION ET LAPPROXIMATION DE CERTAINES EQUATIONS PARABOLIQUES NON LINEAIRES DEGENEREES [J].

RAVIART, PA .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1967, 25 (01) :64-&

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