2020/09/17 by Birgit Jacob, Jacob, Birgit, Julia T. Kaiser +3 · 1 citation
Computer Science · Mathematics · #35L40 #35P10 #47B06 #47D06 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Biology Tumor Growth #Optimization and Control (math.OC) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
paper · doi:10.48550/arxiv.2009.08521
openalex publication_date 2020/09/17 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/14
The location of the spectrum and the Riesz basis property of well-posed homogeneous infinite-dimensional linear port-Hamiltonian systems on a 1D spatial domain are studied. It is shown that the Riesz basis property is equivalent to the fact that system operator generates a strongly continuous group. Moreover, in this situation the spectrum consists of eigenvalues only, located in a strip parallel to the imaginary axis and they can decomposed into finitely many sets having each a uniform gap.