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

页码：687 / 701

页数：15

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