Carleman Estimates and Unique Continuation Property for N-Dimensional Benjamin–Bona–Mahony Equations


Esfahani A. Mammeri Y.
2021Rocky Mountain Mathematics Consortium

Journal of Integral Equations and Applications
2021#33Issue 4443 - 450 pp.

We study the unique continuation property for the N-dimensional BBM equations using Carleman estimates. We prove that if the solution of this equation vanishes in an open subset, then this solution is identically equal to zero in the horizontal component of the open subset.

Carleman estimates , N-dimensional bbm equations , Treves’ inequality , Ucp

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Department of Mathematics, Nazarbayev University, Nur-Sultan, Kazakhstan
Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie Jules Verne, Amiens, France

Department of Mathematics
Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

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