EXACT BOUNDARY CONTROLLABILITY OF 1-D PARABOLIC AND HYPERBOLIC DEGENERATE EQUATIONS

被引：85

作者：

Gueye, Mamadou ^{[1
]}

机构：

[1] Univ Paris 06, UMR 7598, Lab Jacques Louis Lions, F-75005 Paris, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2014年 / 52卷 / 04期

关键词：

degenerate equation; observability; exact controllability; Bessel functions; NULL CONTROLLABILITY; TRANSMUTATION; OBSERVABILITY;

D O I：

10.1137/120901374

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 boundary controllability of a class of one-dimensional degenerate equations is studied in this paper. The novelty of this work is that the control acts through the part of the boundary where degeneracy occurs. First we consider a class of degenerate hyperbolic equations. Then, we prove sharp observability estimates for these equations using nonharmonic Fourier series. The transmutation method yields a result for the corresponding class of degenerate parabolic equations.

引用

页码：2037 / 2054

页数：18

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