Nonlinear heat equation with L1-data

被引：9

作者：

Roubicek, Tomas ^{[1
,2
]}

机构：

[1] Charles Univ Prague, Math Inst, CZ-18675 Prague 8, Czech Republic

[2] Acad Sci Czech Republ, Inst Informat Theory & Automat, CZ-18208 Prague 8, Czech Republic

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 1998年 / 5卷 / 04期

关键词：

D O I：

10.1007/s000300050060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear heat equation with Newton-type boundary conditions with all heat sources being bounded only in L-1-norms is investigated. An integral solution is then de fi ned and its existence, uniqueness and continuous dependence is proved by using accretivity of the stationary part in L-1(Omega) x L-1(Gamma).

引用

页码：517 / 527

页数：11

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