Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings

In this paper the local exact boundary controllability for quasilinear wave equations on a planar tree-like network of strings is established and the number of boundary controls is equal to the number of simple nodes minus 1.

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Bibliographic Details
Published inAnnales de l'Institut Henri Poincaré. Analyse non linéaire Vol. 26; no. 6; pp. 2373 - 2384
Main Authors Gu, Qilong, Li, Tatsien
Format Journal Article
LanguageEnglish
Published Paris Elsevier Masson SAS 01.11.2009
Elsevier
Subjects
Combinatorics
Combinatorics. Ordered structures
Exact boundary controllability
Exact sciences and technology
Graph theory
Mathematical analysis
Mathematics
Partial differential equations
Planar tree-like network of strings
Quasilinear wave equation
Sciences and techniques of general use
Planar tree-like network of strings
35L05
Exact boundary controllability
93B05
Quasilinear wave equation
Wave equation
Boundary control
Mathematics
Nonlinear analysis
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Summary:In this paper the local exact boundary controllability for quasilinear wave equations on a planar tree-like network of strings is established and the number of boundary controls is equal to the number of simple nodes minus 1.
ISSN:0294-1449
1873-1430
DOI:10.1016/j.anihpc.2009.05.002