Blow-up for wave equation with weak boundary damping and source terms

Tae Gab Ha

doi:10.1016/j.aml.2015.05.003

Blow-up for wave equation with weak boundary damping and source terms

Tae Gab Ha^*

^*Corresponding author for this work

Department of Mathematics

Pusan National University

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

12 Scopus citations

Abstract

Abstract In this paper, we consider the wave equation with nonlinear boundary damping and source terms. This work is devoted to prove a finite time blow-up result under suitable condition on the initial data and positive initial energy. The main goal of the present paper is to generalize our previous result in Ha (2012) treating the boundary damping term in a more general setting.

Original language	English
Article number	4787
Pages (from-to)	166-172
Number of pages	7
Journal	Applied Mathematics Letters
Volume	49
DOIs	https://doi.org/10.1016/j.aml.2015.05.003
State	Published - 2015.06.12

Keywords

Blow-up of solution
Positive initial energy
Weak boundary damping

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10.1016/j.aml.2015.05.003

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title = "Blow-up for wave equation with weak boundary damping and source terms",

abstract = "Abstract In this paper, we consider the wave equation with nonlinear boundary damping and source terms. This work is devoted to prove a finite time blow-up result under suitable condition on the initial data and positive initial energy. The main goal of the present paper is to generalize our previous result in Ha (2012) treating the boundary damping term in a more general setting.",

keywords = "Blow-up of solution, Positive initial energy, Weak boundary damping",

author = "Ha, \{Tae Gab\}",

note = "Publisher Copyright: {\textcopyright} 2015 Published by Elsevier Ltd.",

year = "2015",

month = jun,

day = "12",

doi = "10.1016/j.aml.2015.05.003",

language = "English",

volume = "49",

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TY - JOUR

T1 - Blow-up for wave equation with weak boundary damping and source terms

AU - Ha, Tae Gab

PY - 2015/6/12

Y1 - 2015/6/12

N2 - Abstract In this paper, we consider the wave equation with nonlinear boundary damping and source terms. This work is devoted to prove a finite time blow-up result under suitable condition on the initial data and positive initial energy. The main goal of the present paper is to generalize our previous result in Ha (2012) treating the boundary damping term in a more general setting.

AB - Abstract In this paper, we consider the wave equation with nonlinear boundary damping and source terms. This work is devoted to prove a finite time blow-up result under suitable condition on the initial data and positive initial energy. The main goal of the present paper is to generalize our previous result in Ha (2012) treating the boundary damping term in a more general setting.

KW - Blow-up of solution

KW - Positive initial energy

KW - Weak boundary damping

UR - https://www.scopus.com/pages/publications/84930942719

U2 - 10.1016/j.aml.2015.05.003

DO - 10.1016/j.aml.2015.05.003

M3 - Journal article

AN - SCOPUS:84930942719

SN - 0893-9659

VL - 49

SP - 166

EP - 172

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 4787

ER -

Blow-up for wave equation with weak boundary damping and source terms

Abstract

Keywords

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