Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

Browse

Filters

20161

Settings

Author: search.filters.author.Kalantarov, Varga K.WoS Q: search.filters.wosQuartile.Q3

Search Results

Now showing 1 - 1 of 1
  • Article
    Citation - WoS: 14
    Citation - Scopus: 15
    Qualitative Properties of Solutions for Nonlinear Schrödinger Equations With Nonlinear Boundary Conditions on the Half-Line
    (American Institute of Physics, 2016) Kalantarov, Varga K.; Özsarı, Türker
    In this paper, we study the interaction between a nonlinear focusing Robin type boundary source, a nonlinear defocusing interior source, and a weak damping term for nonlinear Schrödinger equations posed on the infinite half-line. We construct solutions with negative initial energy satisfying a certain set of conditions which blow-up in finite time in the H1-sense. We obtain a sufficient condition relating the powers of nonlinearities present in the model which allows construction of blow-up solutions. In addition to the blow-up property, we also discuss the stabilization property and the critical exponent for this model.