20.500.12556/RUL-136221 Flows on metric graphs with general boundary conditions In this note we study the generation of C$_0$-semigroups by first-order differential operators on L$^p(\mathbb{R}_+, \mathbb{C}^l$) × L$^p$([0, 1], $\mathbb{C}^m$) 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 the well-posedness of transport equations on non-compact metric graphs. first order differential operators transport equation C$_0$-semigroups flows on networks non-compact metric graphs diferencialni operatorji prvega reda transportna enačba C$_0$-polgrupe pretoki v omrežjih nekompaktni metrični grafi true false true Angleški jezik Slovenski jezik Članek v reviji 2022-04-20 11:36:42 2022-04-20 11:36:45 2022-09-15 04:13:35 0000-00-00 00:00:00 2022 0 0 27 str. iss. 2, art. 126214 Vol. 513 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.98 0022-247X 10.1016/j.jmaa.2022.126214 105351427 1-s2.0-S0022247X22002281-main_(1).pdf 1-s2.0-S0022247X22002281-main_(1).pdf 1 08E47D661F92B50BB80100C818AF1109 795e539a12fe735686e9d6b096a60c46000420457001bcf544d14bfe3d462070 dbabd145-c08d-11ec-8aca-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=155751 https://www.sciencedirect.com/science/article/pii/S0022247X22002281 0 0bb7b3f7-29cf-11ed-92af-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=159927 Fakulteta za gradbeništvo in geodezijo 0 0 0