NULL CONTROLLABILITY OF DEGENERATE PARABOLIC EQUATIONS IN NON DIVERGENCE FORM VIA CARLEMAN ESTIMATES

被引：23
|
作者：
Fragnelli, Genni [1 ]
机构：
[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2013年 / 6卷 / 03期
关键词：
Degenerate parabolic equations; null controllability; observability Carleman estimates; Hardy type inequality; 2ND-ORDER DIFFERENTIAL-OPERATORS; ANALYTIC SEMIGROUPS; HEAT-EQUATIONS; L-P;
D O I：
10.3934/dcdss.2013.6.687
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove null controllability results for the one dimensional degenerate heat equation in non divergence form with a drift term and Neumann boundary conditions. To this aim we prove Carleman estimates for the associated adjoint problem. Some linear extensions are considered.
引用
收藏
页码：687 / 701
页数：15
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