A Note on the Indirect Controls for a Coupled System of Wave Equations

By a procedure of successive projections, the authors decompose a coupled system of wave equations into a sequence of sub-systems. Then, they can clarify the indirect controls and the total number of controls. Moreover, the authors give a uniqueness theorem of solution to the system of wave equation...

Full description

Saved in:
Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2022-05, Vol.43 (3), p.359-372
Main Authors: Li, Tatsien, Rao, Bopeng
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical analysis
Mathematics
Mathematics and Statistics
Uniqueness theorems
Wave equations
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:By a procedure of successive projections, the authors decompose a coupled system of wave equations into a sequence of sub-systems. Then, they can clarify the indirect controls and the total number of controls. Moreover, the authors give a uniqueness theorem of solution to the system of wave equations under Kalman’s rank condition.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-022-0328-3