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math.FA2024
Spectral analysis of a class of linear hyperbolic partial differential equations
Anthony Hastir, Birgit Jacob, Hans Zwart
A class of linear hyperbolic partial differential equations, sometimes called networks of waves, is considered. For this class of systems, necessary and sufficient conditions are f…
math.FA2022
Well-posedness and observability of Sturm-Liouville systems on a class of Hilbert spaces
Anthony Hastir, Judicaël Mohet, Joseph J. Winkin
The class of Sturm-Liouville operators on the space of square integrable functions on a finite interval is considered. According to the Riesz-spectral property, the self-adjointnes…