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
Issue Date: 1-Feb-2016
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

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