Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6133
Title: Qualitative properties of solutions for nonlinear Schrödinger equations with nonlinear boundary conditions on the half-line
Authors: Kalantarov, Varga K.
Özsarı, Türker
Keywords: Nonlinear Schrödinger equation
Publisher: American Institute of Physics
Source: Kalantarov, V. K.., and Özsarı, T. (2016). Qualitative properties of solutions for nonlinear Schrödinger equations with nonlinear boundary conditions on the half-line. Journal of Mathematical Physics, 57(2). doi:10.1063/1.4941459
Abstract: 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.
URI: http://doi.org/10.1063/1.4941459
http://hdl.handle.net/11147/6133
ISSN: 0022-2488
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Files in This Item:
File Description SizeFormat 
6133.pdfMakale254.67 kBAdobe PDFThumbnail
View/Open
Show full item record



CORE Recommender

SCOPUSTM   
Citations

11
checked on Mar 22, 2024

WEB OF SCIENCETM
Citations

10
checked on Mar 27, 2024

Page view(s)

1,736
checked on Mar 25, 2024

Download(s)

182
checked on Mar 25, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.