On a Nonlinear Wave Equation Associated with Dirichlet Conditions : Solvability and Asymptotic Expansion of Solutions in Many Small Parameters
Joint Authors
Long, Nguyen Thanh
Thuyet, Tran Minh
Luan, Le Khanh
Ngoc, Le Thi Phuong
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-33, 33 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-23
Country of Publication
Egypt
No. of Pages
33
Main Subjects
Abstract EN
A Dirichlet problem for a nonlinear wave equation is investigated.
Under suitable assumptions, we prove the solvability and the uniqueness of a weak solution of the above problem.
On the other hand, a high-order asymptotic expansion of a weak solution in many small parameters is studied.
Our approach is based on the Faedo-Galerkin method, the compact imbedding theorems, and the Taylor expansion of a function.
American Psychological Association (APA)
Ngoc, Le Thi Phuong& Luan, Le Khanh& Thuyet, Tran Minh& Long, Nguyen Thanh. 2011. On a Nonlinear Wave Equation Associated with Dirichlet Conditions : Solvability and Asymptotic Expansion of Solutions in Many Small Parameters. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-33.
https://search.emarefa.net/detail/BIM-486175
Modern Language Association (MLA)
Ngoc, Le Thi Phuong…[et al.]. On a Nonlinear Wave Equation Associated with Dirichlet Conditions : Solvability and Asymptotic Expansion of Solutions in Many Small Parameters. ISRN Applied Mathematics No. 2011 (2011), pp.1-33.
https://search.emarefa.net/detail/BIM-486175
American Medical Association (AMA)
Ngoc, Le Thi Phuong& Luan, Le Khanh& Thuyet, Tran Minh& Long, Nguyen Thanh. On a Nonlinear Wave Equation Associated with Dirichlet Conditions : Solvability and Asymptotic Expansion of Solutions in Many Small Parameters. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-33.
https://search.emarefa.net/detail/BIM-486175
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486175
