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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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