Regional Null Controllability for Degenerate Heat Equations

被引：0

作者：

Popescu, Marius-Constantin ^{[1
]}

Manolea, Gheorghe ^{[1
]}

Balas, Valentina ^{[2
]}

Mastorakis, Nikos ^{[3
]}

机构：

[1] Univ Craiova, Fac Electromech & Environm Engn, Craiova, Romania

[2] Aurel Vlaicu Univ Arad, Fac Engn, Arad, Romania

[3] Tech Univ Sofia, Sofia, Bulgaria

来源：

SSE '09: PROCEEDINGS OF THE 11TH WSEAS INTERNATIONAL CONFERENCE ON SUSTAINABILITY IN SCIENCE ENGINEERING | 2009年

关键词：

Representation equations; Control; Null controllability;

D O I：

暂无

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

We are interested in a null controllability problem for a class of strongly degenerate heat equations. Heat equation parameters are represented graphically (temperature, heat flux) for a particular situation. Then, first for all T>0, we prove a regional null controllability result at time T at least in the region where the equation is not degenerate. The proof is based on an adequate observability inequality for the homogeneous adjoint problem. This inequality is obtained by application of Carleman estimates combined with the introduction of cut-off functions. Then we improve this result: for all T>T, we obtain a result of persistent regional null controllability during the time interval [T,T]. Finally we give similar results for the (non degenerate) heat equation in unbounded domain.

引用

页码：28 / +

页数：2

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