Cauchy problem of the generalized Zakharov type system in [Formula: see text]

In this paper, we consider the initial value problem for a two-dimensional generalized Zakharov system with quantum effects. We prove the existence and uniqueness of global smooth solutions to the initial value problem in the Sobolev space through making a priori integral estimates and the Galerkin...

Descripción completa

Detalles Bibliográficos
Autores principales: You, Shujun, Ning, Xiaoqi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5285424/
https://www.ncbi.nlm.nih.gov/pubmed/28216987
http://dx.doi.org/10.1186/s13660-017-1306-2
_version_ 1782503838212685824
author You, Shujun
Ning, Xiaoqi
author_facet You, Shujun
Ning, Xiaoqi
author_sort You, Shujun
collection PubMed
description In this paper, we consider the initial value problem for a two-dimensional generalized Zakharov system with quantum effects. We prove the existence and uniqueness of global smooth solutions to the initial value problem in the Sobolev space through making a priori integral estimates and the Galerkin method.
format Online
Article
Text
id pubmed-5285424
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-52854242017-02-15 Cauchy problem of the generalized Zakharov type system in [Formula: see text] You, Shujun Ning, Xiaoqi J Inequal Appl Research In this paper, we consider the initial value problem for a two-dimensional generalized Zakharov system with quantum effects. We prove the existence and uniqueness of global smooth solutions to the initial value problem in the Sobolev space through making a priori integral estimates and the Galerkin method. Springer International Publishing 2017-02-01 2017 /pmc/articles/PMC5285424/ /pubmed/28216987 http://dx.doi.org/10.1186/s13660-017-1306-2 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
You, Shujun
Ning, Xiaoqi
Cauchy problem of the generalized Zakharov type system in [Formula: see text]
title Cauchy problem of the generalized Zakharov type system in [Formula: see text]
title_full Cauchy problem of the generalized Zakharov type system in [Formula: see text]
title_fullStr Cauchy problem of the generalized Zakharov type system in [Formula: see text]
title_full_unstemmed Cauchy problem of the generalized Zakharov type system in [Formula: see text]
title_short Cauchy problem of the generalized Zakharov type system in [Formula: see text]
title_sort cauchy problem of the generalized zakharov type system in [formula: see text]
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5285424/
https://www.ncbi.nlm.nih.gov/pubmed/28216987
http://dx.doi.org/10.1186/s13660-017-1306-2
work_keys_str_mv AT youshujun cauchyproblemofthegeneralizedzakharovtypesysteminformulaseetext
AT ningxiaoqi cauchyproblemofthegeneralizedzakharovtypesysteminformulaseetext

Ejemplares similares