caa a22 4500 445835540 CHVBK 20180317145329.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00209-010-0698-1 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0698-1 Time asymptotic description of the solution to an abstract Cauchy problem and application to transport equation [Elektronische Daten] [Boulbeba Abdelmoumen, Aref Jeribi, Maher Mnif] In this paper, we give a description of the large time behavior of solutions to an abstract Cauchy problem on Banach spaces without restriction on the initial data. This enables us to study the behavior of solutions to a source problem on L 1 spaces. Moreover, a time asymptotic behavior of solutions on L p spaces (1<p<∞) is investigated. Springer-Verlag, 2010 Abdelmoumen Boulbeba Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia aut Jeribi Aref Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia aut Mnif Maher Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia aut Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 837-869 0025-5874 268:3-4<837 2011 268 209 https://doi.org/10.1007/s00209-010-0698-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0698-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Abdelmoumen Boulbeba Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia aut NATIONALLICENCE 700 1- Jeribi Aref Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia aut NATIONALLICENCE 700 1- Mnif Maher Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 837-869 0025-5874 268:3-4<837 2011 268 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer