Boundary controllability for a degenerate and singular wave equation

被引：15

作者：

Allal, Brahim ^{[1
]}

Moumni, Alhabib ^{[2
]}

Salhi, Jawad ^{[2
]}

机构：

[1] Ibn Zohr Univ, Fac Appl Sci, Dept Math, Ait Melloul, Morocco

[2] Moulay Ismail Univ Meknes, FST Errachidia, MAMCS Grp, MAIS Lab, POB 509, Boutalamine 52000, Errachidia, Morocco

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 17期

关键词：

degenerate wave equations; exact boundary controllability; Hardy inequalities; singular wave equations; HARDY INEQUALITIES; OBSERVABILITY; STABILIZATION; SCHRODINGER; OPERATORS;

D O I：

10.1002/mma.8464

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the boundary controllability of a one-dimensional degenerate and singular wave equation with degeneracy and singularity occurring at the boundary of the spatial domain. Exact boundary controllability is proved in the range of both subcritical and critical potentials and for sufficiently large time, through a boundary controller acting away from the degenerate/singular point. By duality argument, we reduce the problem to an observability estimate for the corresponding adjoint system, which is proved by means of the multiplier method and new Hardy-type inequalities.

引用

页码：11526 / 11544

页数：19

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