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Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings
Authors:Qilong Gu  Tatsien Li
Institution:1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;2. Laboratoire de Mathématiques, CNRS UMR 6620, Université Blaise Pascal (Clermont-Ferrand 2), 63177 Aubière cedex, France
Abstract: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.
Keywords:Exact boundary controllability  Quasilinear wave equation  Planar tree-like network of strings
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