Global Existence and Long-Term Behavior of a Nonlinear Schrodinger-Type Equation


Soltanov K. N.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.67, sa.1, ss.74-97, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 67 Konu: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s11253-015-1066-4
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.74-97

Özet

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.