On Boundary Null Controllability of Strongly Degenerate Hyperbolic Systems on Star-Shaped Planar Network
Peter I. Kogut, Olga P. Kupenko, G¨unter Leugering
Journal of Optimization, Differential Equations and Their Applications · 2021
doi:10.15421/142110 (opens in a new tab)
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Abstract
In this paper we discuss the problem of boundary exact null controllability for weakly and strongly degenerate linear wave equation defined on star-shaped planar network. The network is represented by a singular measure in a bounded planar domain. The novelty of this article lies in the degeneration of the leading coefficient representative of the material properties at the common node of network. We discuss the existence of weak and strong solutions to the degenerate hyperbolic problem and establish the corresponding controllability properties.
Abstract licence: CC BY
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