## Abstract and Applied Analysis

### The Asymptotic Solution of the Initial Boundary Value Problem to a Generalized Boussinesq Equation

#### Abstract

The ${L}^{2}$ space solution of an initial boundary problem for a generalizeddamped Boussinesq equation is constructed. Certain assumptions on the coefficients ofthe equation are found to show the existence and uniqueness of the global solution to theinitial boundary problem. The explicit expression for the large time asymptotic solution isobtained.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 216320, 13 pages.

Dates
First available in Project Euclid: 4 April 2013

https://projecteuclid.org/euclid.aaa/1365099938

Digital Object Identifier
doi:10.1155/2012/216320

Mathematical Reviews number (MathSciNet)
MR2947677

Zentralblatt MATH identifier
1246.35185

#### Citation

Yin, Zheng; Zhang, Feng. The Asymptotic Solution of the Initial Boundary Value Problem to a Generalized Boussinesq Equation. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 216320, 13 pages. doi:10.1155/2012/216320. https://projecteuclid.org/euclid.aaa/1365099938

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