Kalman's criterion on the uniqueness of continuation for the nilpotent system of wave equations |
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| Authors: | Tatsien Li Bopeng Rao |
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| Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;2. Shanghai Key Laboratory for Contemporary Applied Mathematics, Shanghai, China;3. Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai, China;4. Institut de recherche mathématique avancée, Université de Strasbourg, 67084 Strasbourg, France |
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| Abstract: | In this Note, we consider a system of wave equations coupled by a nilpotent matrix with homogeneous Dirichlet boundary condition. We establish the uniqueness of the solution when partial Neumann observation satisfies Kalman's rank condition. |
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