Null controllability of degenerate/singular parabolic equations

被引：20
|
作者：
Fotouhi, M. [1 ]
Salimi, L. [1 ]
机构：
[1] Sharif Univ Technol, Tehran, Iran
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2012年 / 18卷 / 04期
关键词：
Degenerate parabolic equations; singular potential; null controllability; Carleman estimates; improved Hardy inequality; APPROXIMATE CONTROLLABILITY; HEAT-EQUATION;
D O I：
10.1007/s10883-012-9160-5
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 purpose of this paper is to provide a full analysis of the null controllability problem for the one dimensional degenerate/singular parabolic equation , (t, x) a (0, T) x (0, 1), where the diffusion coefficient a(a (TM)) is degenerate at x = 0. Also the boundary conditions are considered to be Dirichlet or Neumann type related to the degeneracy rate of a(a (TM)). Under some conditions on the function a(a (TM)) and parameters beta, lambda, we prove global Carleman estimates. The proof is based on an improved Hardy-type inequality.
引用
收藏
页码：573 / 602
页数：30
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