caa a22 4500 445344865 CHVBK 20180317142825.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00233-010-9285-3 doi (NATIONALLICENCE)springer-10.1007/s00233-010-9285-3 Uniqueness of C 0-semigroups on a general locally convex vector space and an application [Elektronische Daten] [Ludovic Lemle, Liming Wu] The main purpose is to generalize a theorem of Arendt about uniqueness of C 0-semigroups from Banach space setting to general locally convex vector spaces. More precisely, we show that cores are the only domains of uniqueness for C 0-semigroups on locally convex spaces. As an application, we find a necessary and sufficient condition for that the mass transport equation has one unique L 1(ℝd,dx) weak solution. Springer Science+Business Media, LLC, 2010 C 0-semigroups nationallicence L 1-uniqueness nationallicence Weak solution nationallicence Mass transport equation nationallicence Lemle Ludovic Engineering Faculty of Hunedoara, "Politehnica” University of Timişoara, 331128, Hunedoara, Romania aut Wu Liming Laboratoire de Mathématiques, CNRS-UMR 6620, Université Blaise Pascal, 63177, Aubière, France aut Semigroup Forum Springer-Verlag 82/3(2011-06-01), 485-496 0037-1912 82:3<485 2011 82 233 https://doi.org/10.1007/s00233-010-9285-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-010-9285-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lemle Ludovic Engineering Faculty of Hunedoara, "Politehnica” University of Timişoara, 331128, Hunedoara, Romania aut NATIONALLICENCE 700 1- Wu Liming Laboratoire de Mathématiques, CNRS-UMR 6620, Université Blaise Pascal, 63177, Aubière, France aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 82/3(2011-06-01), 485-496 0037-1912 82:3<485 2011 82 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer