Null controllability of degenerate parabolic operators with drift

被引：75

作者：

Cannarsa, Piermarco ^{[1
]}

Fragnelli, Genni ^{[2
]}

Rocchetti, Dario ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Siena, Dipartimento Ingn Informaz, I-53100 Siena, Italy

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2007年 / 2卷 / 04期

关键词：

degenerate parabolic equations; null controllability; Carleman estimates; Hardy type inequality;

D O I：

10.3934/nhm.2007.2.695

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give null controllability results for some degenerate parabolic equations in non divergence form with a drift term in one space dimension. In particular, the coefficient of the second order term may degenerate at the extreme points of the space domain. For this purpose, we obtain an observability inequality for the adjoint problem using suitable Carleman estimates.

引用

页码：695 / 715

页数：21

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