20.500.12556/RUL-133733 Dynamic transmission conditions for linear hyperbolic systems on networks We study evolution equations on networks that can be modeled by means of hyperbolic systems. We extend our previous findings in Kramar et al. (Linear hyperbolic systems on networks. arXiv:2003.08281, 2020) by discussing well-posedness under rather general transmission conditions that might be either of stationary or dynamic type—or a combination of both. Our results rely upon semigroup theory and elementary linear algebra. We also discuss qualitative properties of solutions. mathematics hyperbolic systems operator semigroups dynamic boundary conditions PDEs on networks invariance properties second sound matematika hiperbolični sistemi operatorske polgrupe dinamični robni pogoji PDE na omrežjih invariantne lastnosti drugi zvok true false false Angleški jezik Slovenski jezik Članek v reviji 2021-12-13 10:24:18 2021-12-13 10:24:22 2022-09-13 03:52:24 0000-00-00 00:00:00 2021 0 0 Str. 3639-3673 iss. sept. Vol. 21 2021 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956.3 1424-3199 10.1007/s00028-021-00715-0 88859395 RAZ_Kramar_Fijavz_Marjeta_2021.pdf RAZ_Kramar_Fijavz_Marjeta_2021.pdf 1 DDDC6C969CE029B78789EBEB60438A05 8d6654c7ece9b34788fc5b7f1d4ef98543587e36880261b3d1f8f418ff7aa075 58456b88-5bf6-11ec-abdb-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=152043 Fakulteta za gradbeništvo in geodezijo 0 0 0