Generalized Exact Boundary Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls

Yanyan Wang

doi:10.1007/s11401-020-0214-9

Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (4) : 511 -530. DOI: 10.1007/s11401-020-0214-9

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Generalized Exact Boundary Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls

Yanyan Wang ¹^,^a

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Abstract

This paper deals with the generalized exact boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls in the framework of weak solutions. A necessary and sufficient condition for the generalized exact boundary synchronization is obtained, and some results for its generalized exactly synchronizable states are given.

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Generalized exact boundary synchronization / Coupled system of wave equations / Generalized exactly synchronizable state / Dirichlet boundary control

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Yanyan Wang. Generalized Exact Boundary Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls. Chinese Annals of Mathematics, Series B, 2020, 41(4): 511-530 DOI:10.1007/s11401-020-0214-9