Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms

Tae Gab Ha; Daewook Kim; Il Hyo Jung

doi:10.1016/j.camwa.2013.12.012

Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms

Tae Gab Ha
, Daewook Kim
, Il Hyo Jung^*

^*Corresponding author for this work

Department of Mathematics

Pusan National University

Research output: Contribution to journal › Journal article › peer-review

6 Scopus citations

Abstract

In this paper, we consider a semi-linear wave equation with damping and source terms. Using a potential well method, we prove the existence and uniqueness of global solutions of the wave equation and investigate uniform decay rates of solutions. Moreover, an example is given to illustrate our results.

Original language	English
Pages (from-to)	692-707
Number of pages	16
Journal	Computers and Mathematics with Applications
Volume	67
Issue number	3
DOIs	https://doi.org/10.1016/j.camwa.2013.12.012
State	Published - 2014.02

Keywords

Energy decay
Existence of solution
Numerical result
Source term

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10.1016/j.camwa.2013.12.012

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title = "Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms",

abstract = "In this paper, we consider a semi-linear wave equation with damping and source terms. Using a potential well method, we prove the existence and uniqueness of global solutions of the wave equation and investigate uniform decay rates of solutions. Moreover, an example is given to illustrate our results.",

keywords = "Energy decay, Existence of solution, Numerical result, Source term",

author = "Ha, \{Tae Gab\} and Daewook Kim and Jung, \{Il Hyo\}",

year = "2014",

month = feb,

doi = "10.1016/j.camwa.2013.12.012",

language = "English",

volume = "67",

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journal = "Computers and Mathematics with Applications",

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TY - JOUR

T1 - Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms

AU - Ha, Tae Gab

AU - Kim, Daewook

AU - Jung, Il Hyo

PY - 2014/2

Y1 - 2014/2

N2 - In this paper, we consider a semi-linear wave equation with damping and source terms. Using a potential well method, we prove the existence and uniqueness of global solutions of the wave equation and investigate uniform decay rates of solutions. Moreover, an example is given to illustrate our results.

AB - In this paper, we consider a semi-linear wave equation with damping and source terms. Using a potential well method, we prove the existence and uniqueness of global solutions of the wave equation and investigate uniform decay rates of solutions. Moreover, an example is given to illustrate our results.

KW - Energy decay

KW - Existence of solution

KW - Numerical result

KW - Source term

UR - https://www.scopus.com/pages/publications/84892619312

U2 - 10.1016/j.camwa.2013.12.012

DO - 10.1016/j.camwa.2013.12.012

M3 - Journal article

AN - SCOPUS:84892619312

SN - 0898-1221

VL - 67

SP - 692

EP - 707

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 3

ER -

Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms

Abstract

Keywords

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