Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation
2021 ◽
Vol 27
◽
pp. 93
Keyword(s):
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.
1970 ◽
Vol 30
(2)
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pp. 79-83
2001 ◽
Vol 64
(1)
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pp. 149-156
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2003 ◽
Vol 79
(9)
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pp. 158-161
2020 ◽
Vol 26
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pp. 79
2018 ◽
Vol 50
(4)
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pp. 3919-3938
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