Friedrich-Alexander-Universität Erlangen-Nürnberg
Filtern
Erscheinungsjahr
- 2021 (1)
Sprache
- Englisch (1)
Volltext vorhanden
- ja (1)
Schlagworte
- nodal profile con-trol (1) (entfernen)
We analyze the sidewise controllability for the variable coefficients one-dimensional wave equation. The control is acting on one extreme of the string with the aim that the solution tracks a given path at the otherfree end. This sidewise control problem is also often referred to as nodal profile or tracking control. First, the problem is reformulated as a dual observability property for the corresponding adjoint system. Using sidewiseenergy propagation arguments the sidewise observability is shown to hold, ina sufficiently large time, in the class of BV-coefficients. We also present a number of open problems and perspectives for further research.