caa a22 4500 605522995 CHVBK 20210128100747.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10958-015-2373-x doi (NATIONALLICENCE)springer-10.1007/s10958-015-2373-x Local Equilibrium of the Carleman Equation [Elektronische Daten] [E. Radkevich, O. Vasil'eva, S. Dukhnovskii] We consider the Cauchy problem for the one-dimensional Carleman equation with bounded energy and periodic initial data and obtain the local equilibrium conditions. We prove exponential stabilization to the equilibrium state. Bibliography: 10 titles. Illustrations: 3 figures. Springer Science+Business Media New York, 2015 Radkevich E. Moscow State University, 119991, Moscow, Russia aut Vasil'eva O. Moscow State University of Civil Engineering, 26, Yaroslavskoe Shosse, 129337, Moscow, Russia aut Dukhnovskii S. Moscow State University of Civil Engineering, 26, Yaroslavskoe Shosse, 129337, Moscow, Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/2(2015-05-01), 296-323 1072-3374 207:2<296 2015 207 10958 https://doi.org/10.1007/s10958-015-2373-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2373-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Radkevich E. Moscow State University, 119991, Moscow, Russia aut NATIONALLICENCE 700 1- Vasil'eva O. Moscow State University of Civil Engineering, 26, Yaroslavskoe Shosse, 129337, Moscow, Russia aut NATIONALLICENCE 700 1- Dukhnovskii S. Moscow State University of Civil Engineering, 26, Yaroslavskoe Shosse, 129337, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/2(2015-05-01), 296-323 1072-3374 207:2<296 2015 207 10958