Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line

Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line

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This paper addresses an initial boundary value problem for the damped Burgers equation in weighted Sobolev spaces on half line. First, it introduces two normed spaces and present relations between them, which in turn enables us to analysis the existence and uniqueness of a local mild solution and of...

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Main Authors: Mohammadreza Foroutan, Ali Ebadian
Format: Article
Language:English
Published: Etamaths Publishing 2018-03-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1461
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spelling doaj-12c5e2f35e984cbbb67c86cdc75b231a2020-11-25T01:13:41ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-03-01162264275302Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half LineMohammadreza Foroutan0Ali EbadianPayam Noor UniversityThis paper addresses an initial boundary value problem for the damped Burgers equation in weighted Sobolev spaces on half line. First, it introduces two normed spaces and present relations between them, which in turn enables us to analysis the existence and uniqueness of a local mild solution and of a global strong solution in these weighted spaces. The paper also studies the well-posedness of this equation in a semi-infinite interval.http://www.etamaths.com/index.php/ijaa/article/view/1461
collection DOAJ
language English
format Article
sources DOAJ
author Mohammadreza Foroutan
Ali Ebadian
spellingShingle Mohammadreza Foroutan
Ali Ebadian
Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line
International Journal of Analysis and Applications
author_facet Mohammadreza Foroutan
Ali Ebadian
author_sort Mohammadreza Foroutan
title Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line
title_short Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line
title_full Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line
title_fullStr Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line
title_full_unstemmed Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line
title_sort existence and uniqueness of mild solutions for the damped burgers equation in weighted sobolev spaces on the half line
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2018-03-01
description This paper addresses an initial boundary value problem for the damped Burgers equation in weighted Sobolev spaces on half line. First, it introduces two normed spaces and present relations between them, which in turn enables us to analysis the existence and uniqueness of a local mild solution and of a global strong solution in these weighted spaces. The paper also studies the well-posedness of this equation in a semi-infinite interval.
url http://www.etamaths.com/index.php/ijaa/article/view/1461
work_keys_str_mv AT mohammadrezaforoutan existenceanduniquenessofmildsolutionsforthedampedburgersequationinweightedsobolevspacesonthehalfline
AT aliebadian existenceanduniquenessofmildsolutionsforthedampedburgersequationinweightedsobolevspacesonthehalfline
_version_ 1725160614276366336

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