Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation
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Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation
Abstract
In this work we study the semi-discrete linearized Benjamin-Bona-Mahony equation (BBM) which is a model for propagation of one-dimensional, unidirectional, small amplitude long waves in non-linear dispersive media. In particular, we derive a stability estimate which yields a unique continuation property. The proof is based on a Carleman estimate for a finite difference approximation of Laplace operator with boundary observation in which the large parameter is connected to the mesh size.
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Esaim: COCV 27 (2021) 93
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