Boundary controllability of two coupled wave equations with space-time first-order coupling in 1-D

2021/04/18 by Khodja, Farid Ammar, Mokhtari, Yacine · 1 citation
#35F05 #35L05 #35L40 #93B05 #93B07 #93C05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2104.08960

Abstract

This paper is devoted to study exact controllability of two one-dimensional coupled wave equations with first-order coupling terms with coefficients depending on space and time. We give a necessary and sufficient condition for both exact controllability in high frequency in the general case and the unique continuation in the cascade case.

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