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

• Published in: Український математичний журнал
• Date: 2015
• Main Author: Soltanov, K.N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165436
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Global Existence and Long-Term Behavior of a Nonlinear Schrödinger-Type Equation / K.N. Soltanov// Український математичний журнал. — 2015. — Т. 67, № 1. — С. 68–87. — Бібліогр.: 36 назв. — англ.

We study a global mixed problem for the nonlinear Schrödinger 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....