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Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation
(EDP Sciences, 2021)
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 ...
Stability of an inverse problem for the discrete wave equation and convergence results
(Elsevier, 2015)
Using uniform global Carleman estimates for semi-discrete elliptic and hyperbolic equations, we study Lipschitz and logarithmic stability for the inverse problem of recovering a potential in a semi-discrete wave equation, ...
Stability of an inverse problem for the discrete wave equation and convergence results
(Elsevier, 2015)
Using uniform global Carleman estimates for semi-discrete elliptic and hyperbolic equations, we study Lipschitz and logarithmic stability for the inverse problem of recovering a potential in a semi-discrete wave equation, ...
On discrete carleman estimates: applications to controllability, stability and inverse problems
(Universidad de Chile, 2022)
El objetivo central de esta tesis es el estudio de sistemas discretos y semi-discretos de Ecuaciones en Derivadas Parciales, mediante el método de diferencias finitas, para entender de mejor forma algunos problemas de ...
Control Systems and Identification Problems
(2013)
This project the focus will be in both control and identification problems.
Concerning control theory, we plan to work in two main research lines: controllability of coupled
systems of partial differential equations (PDE) ...