Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation

نویسندگان

چکیده

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. particular, derive stability estimate yields unique continuation property. The proof based on Carleman finite difference approximation Laplace operator with boundary observation large parameter connected to mesh size.

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ژورنال

عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations

سال: 2021

ISSN: ['1262-3377', '1292-8119']

DOI: https://doi.org/10.1051/cocv/2021087