Global Existence and Long-Term Behavior of a Nonlinear Schrodinger-Type Equation
UKRAINIAN MATHEMATICAL JOURNAL, vol.67, no.1, pp.74-97, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 67 Issue: 1
- Publication Date: 2015
- Doi Number: 10.1007/s11253-015-1066-4
- Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.74-97
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: No
Abstract
We study a global mixed problem for the nonlinear Schrodinger equation with a nonlinear term in which the coefficient is a generalized function. A global solvability theorem for the analyzed problem is proved by using the general solvability theorem from [K. N. Soltanov, Nonlin. Anal.: Theory, Meth., Appl., 72, No. 1 (2010)]. We also investigate the behavior of the solution of the problem under consideration.