Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation

Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation

In this work we study the effect of time finiteness of the existence of Cauchy problem for nonlinear Schrödinger equation solution. Together with the ill-posed Cauchy problem we consider its neighborhood in the space of operators, representing Cauchy problem. We explore the convergence of sequence...

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Main Author: V. Zh. Sakbaev
Format: Article
Language:English
Published: Samara State Technical University 2013-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1159
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spelling doaj-e41d62cb4ce7471a90ef23ee139304312020-11-25T01:41:18ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-03-011(30)15917110.14498/vsgtu1159 Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equationV. Zh. SakbaevIn this work we study the effect of time finiteness of the existence of Cauchy problem for nonlinear Schrödinger equation solution. Together with the ill-posed Cauchy problem we consider its neighborhood in the space of operators, representing Cauchy problem. We explore the convergence of sequence of solutions of Cauchy problems with the operators, approximating the initial Hamiltonian.http://mi.mathnet.ru/eng/vsgtu1159
collection DOAJ
language English
format Article
sources DOAJ
author V. Zh. Sakbaev
spellingShingle V. Zh. Sakbaev
Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet V. Zh. Sakbaev
author_sort V. Zh. Sakbaev
title Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
title_short Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
title_full Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
title_fullStr Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
title_full_unstemmed Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
title_sort blow-up of solutions of cauchy problem for nonlinear schrödinger equation
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2013-03-01
description In this work we study the effect of time finiteness of the existence of Cauchy problem for nonlinear Schrödinger equation solution. Together with the ill-posed Cauchy problem we consider its neighborhood in the space of operators, representing Cauchy problem. We explore the convergence of sequence of solutions of Cauchy problems with the operators, approximating the initial Hamiltonian.
url http://mi.mathnet.ru/eng/vsgtu1159
work_keys_str_mv AT vzhsakbaev blowupofsolutionsofcauchyproblemfornonlinearschrodingerequation
_version_ 1725041569603518464

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