In this note we study the generation of C_0-semigroups by first order differential operators on L^p(R_+ , C^l) × L^p ([0, 1], C^m) with general boundary conditions. In many cases we are able to characterize the generation property in terms of the invertibility of a matrix associated to the boundary conditions. The abstract results are used to study well-posedness of transport equations on non-compact metric graphs.
Titolo: | Flows on Metric Graphs with General Boundary Conditions | |
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Data di pubblicazione: | 2022 | |
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Handle: | http://hdl.handle.net/11697/184332 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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File | Descrizione | Tipologia | Licenza | |
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Engel-Kramar_JMAA-2022.pdf | Versione online | Documento in Post-print | ![]() | Open Access Visualizza/Apri |
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