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  1. UEH Digital Repository
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An asymptotic expansion of a weak solution for a nonlinear wave equation

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Issue Date
2011
Author
Le Thi Phuong Ngoc
Co-Author
Le Khanh Luan
Nguyen Thanh Long
Host Item
ACTA Mathematica Vietnamica
Journal Ranking
Scopus
ISSN
0251-4184 (Print), 2315-4144 (Online)
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Issue Date
2011
Author
Le Thi Phuong Ngoc
Co-Author
Le Khanh Luan
Nguyen Thanh Long
Metadata

Show full item record

Metadata Views

7

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0

Abstract

In this paper, we consider a nonlinear wave equation associated with the Dirichlet boundary condition. First, the existence and uniqueness of a weak solution are proved by using the Faedo-Galerkin method. Next, we present an asymptotic expansion of high order in many small parameters of a weak solution. This extends recent corresponding results where an asymptotic expansion of a weak solution in two or three small parameters is established.

Keywords
Faedo-Galerkin method, Linear recurrent sequence, Asymptotic ex-pansion of order N + 1
URI
http://journals.math.ac.vn/acta/images/stories/pdf1/Vol_36_No_3/12_V36N3_Acta_10_62_B3.pdf
http://digital.lib.ueh.edu.vn/handle/UEH/56268
Publisher
Spinger
Appears in Collections:INTERNATIONAL PUBLICATIONS

There are no files associated with this item.



An asymptotic expansion of a weak solution for a nonlinear wave equation

TweetLikeShare# Shares: 0

Metadata Views

7

Content Views

0

Issue Date
2011
Author
Le Thi Phuong Ngoc
Co-Author
Le Khanh Luan
Nguyen Thanh Long
Host Item
ACTA Mathematica Vietnamica
Journal Ranking
Scopus
ISSN
0251-4184 (Print), 2315-4144 (Online)
Metadata

Show full item record


Issue Date
2011
Author
Le Thi Phuong Ngoc
Co-Author
Le Khanh Luan
Nguyen Thanh Long
Metadata

Show full item record

Metadata Views

7

Content Views

0

Abstract

In this paper, we consider a nonlinear wave equation associated with the Dirichlet boundary condition. First, the existence and uniqueness of a weak solution are proved by using the Faedo-Galerkin method. Next, we present an asymptotic expansion of high order in many small parameters of a weak solution. This extends recent corresponding results where an asymptotic expansion of a weak solution in two or three small parameters is established.

Keywords
Faedo-Galerkin method, Linear recurrent sequence, Asymptotic ex-pansion of order N + 1
URI
http://journals.math.ac.vn/acta/images/stories/pdf1/Vol_36_No_3/12_V36N3_Acta_10_62_B3.pdf
http://digital.lib.ueh.edu.vn/handle/UEH/56268
Publisher
Spinger
Appears in Collections:INTERNATIONAL PUBLICATIONS

There are no files associated with this item.



Citation

APA    Ngoc, L. T. P. (2011). An asymptotic expansion of a weak solution for a nonlinear wave equation. (Journal Article). http://journals.math.ac.vn/acta/images/stories/pdf1/Vol_36_No_3/12_V36N3_Acta_10_62_B3.pdf
   
MLA    Le Thi Phuong Ngoc. An asymptotic expansion of a weak solution for a nonlinear wave equation. 2011. Spinger. Journal Article. http://journals.math.ac.vn/acta/images/stories/pdf1/Vol_36_No_3/12_V36N3_Acta_10_62_B3.pdf
   
Chicago    Le Thi Phuong Ngoc. "An asymptotic expansion of a weak solution for a nonlinear wave equation. "(Journal Article, Spinger, 2011)
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