caa a22 4500 606233288 CHVBK 20210128101231.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10883-015-9270-y doi (NATIONALLICENCE)springer-10.1007/s10883-015-9270-y Natali Fábio Departamento de Matemática, Universidade Estadual de Maringá, Avenida Colombo, 5790, CEP 87020-900, Maringá, PR, Brazil aut Exponential Stabilization for the Nonlinear Schrödinger Equation with Localized Damping [Elektronische Daten] [Fábio Natali] Results of exponential stability related to the nonlinear Schrödinger equation posed on the whole real line will be discussed in this paper. We shall use local smoothing effect associated with the semigroup of the Schrödinger equation, Strichartz estimates, and compactness tools to determine the exponential decay of the energy, by assuming the initial data in convenient bounded sets of L 2. Springer Science+Business Media New York, 2015 Schrödinger equation nationallicence Exponential decay nationallicence Solution in L 2 nationallicence Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/3(2015-07-01), 461-474 1079-2724 21:3<461 2015 21 10883 https://doi.org/10.1007/s10883-015-9270-y 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/s10883-015-9270-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Natali Fábio Departamento de Matemática, Universidade Estadual de Maringá, Avenida Colombo, 5790, CEP 87020-900, Maringá, PR, Brazil aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/3(2015-07-01), 461-474 1079-2724 21:3<461 2015 21 10883