Null controllability of nonlinear convective heat equations

被引：32
作者：
Anita, S [1 ]
Barbu, V [1 ]
机构：
[1] Univ Al I Cuza, Fac Math, Iasi 6600, Romania
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2000年 / 5卷
关键词：
null controllability; Carleman estimates; interpolation inequality; Kakutani fixed point theorem;
D O I：
10.1051/cocv:2000105
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The internal and boundary exact null controllability of nonlinear convective heat equations with homogeneous Dirichlet boundary conditions are studied. The methods we use combine Kakutani fixed point theorem, Carleman estimates for the backward adjoint linearized system, interpolation inequalities and some estimates in the theory of parabolic boundary value problems in L-k.
引用
收藏
页码：157 / 173
页数：17
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